Prove this polynomial identity

Prove This Polynomial Identity

Answers

Answer 1

Answer:

[tex](x + y) {}^{3} = {(x + y)}^{2} (x + y) \\ = ( {x}^{2} + 2xy + {y}^{2} )(x + y) \\ = ( {x}^{3} + {x}^{2} y+ 2 {x}^{2} y + 2x {y}^{2} + x {y}^{2} + {y}^{3} ) \\ = ( {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} )[/tex]


Related Questions

can y’all help me with this, short answers btw ty!

Answers

Answer:

Hello!

Question 1: What is an earthquake? Answer: An earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves.

Question 2: What are faults? Answer: In geology, a fault is a planar fracture or discontinuity in a volume of rock across which there has been significant displacement as a result of rock-mass movements.

Question 3: Why are earthquakes more likely to occur near faults? Answer: Notice that many plate boundaries do not coincide with coastlines. Earthquakes can also occur far from the edges of plates, along faults. Faults are caused by all that bumping and sliding the plates do. They are more common near the edges of the plates.

Question 4: What happens when the plates grind against each other? Answer: An earthquake is caused by the movement of Earth's crustal plates grinding against one another.

Question 5: Is it true that when vibrations reach earth surface as earthquakes occur? Answer: Yes! It's true that it vibrates near the earth surface!

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Solve the equation f/2 +9=4 how can you isolate the variable F 

Answers

Answer:

F= -2.5

Step-by-step explanation:

divide both sides by two in order to isolate f.

by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f

then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5

The value of f in the equation is -10.

What is a Variable?

'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'

According to the given problem,

First we need to isolate the variable f:

⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]

Now, transposing 9 to the right hand side,

⇒ [tex]\frac{f}{2}[/tex] = 4 - 9

⇒ [tex]\frac{f}{2} = -5[/tex]

⇒ f= ( -5 * 2 )

⇒ f= -10

Hence, the required value of the variable f is -10.

Learn more about linear equations here:

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What is the dontain of the function graphed below?

I’ll give brainliest to the real answer

Answers

Answer:

the third one.........

[-2,0] and (7,oo)

It is the only one that matches

HOPE This helps!

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.
a = 6; d = -3
an = ?; 214 = ?
O A. an = 9-3n; 14 = - 15
O B. a, = 9+ 3n; 214 = -33
O c. a, = 6 - 3n; 214 = - 33
OD. an = 9 - 3n; 214 4 = -33

Answers

Answer:

fevgrnumnrbvec

Step-by-step explanation:

please help to solve this ​

Answers

Answer:

☥ [tex] \underline{ \underline{ \red{\large{\tt{S \: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]

Let Cost Price ( CP ) be x

☃ [tex] \large{ \tt{MP = x + 30\% \: of \: x}}[/tex]

➝ [tex] \large{ \tt{x + \frac{30}{100}x }}[/tex]

➝ [tex] \large{ \tt{x + 0.3x }}[/tex]

➝ [tex] \large{ \tt{1.3x}}[/tex]

☂ [tex] \large{ \tt{SP = 1.3x - 15\% \: of \: 1.3x}}[/tex]

⇾ [tex] \large{ \tt{1.3x - \frac{15}{100} \times 1.3x}}[/tex]

⇾ [tex] \large{ \tt{1.3x - 0.195x}}[/tex]

⇾ [tex] \large{ \tt{1.105x}}[/tex]

☼ [tex] \large{ \tt{Profit = SP - CP}}[/tex]

⟶ [tex] \large{ \tt{1.105x - x}}[/tex]

⟶ [tex] \large{ \tt{0.105x}}[/tex]

♨ [tex] \large{ \tt{P\% = \frac{Profit}{CP} \times 100 \%}}[/tex]

⤑ [tex] \large{ \tt{ \frac{0.105x}{x} \times 100\%}}[/tex]

⤑ [tex] \boxed{ \large{ \purple{\tt{10.5\%}}}}[/tex]

Hence , Profit % = 10.5 %

♕ Hope I helped ! ♡

☄ Have a wonderful day / night ! ♫

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Angle rides her bicycle 2/3 mile to school on Friday she took a shortcut so that the ride to school was 1/9 mile shorter how was angle bicycle ride on Friday

Answers

Answer:

5/9 miles

Step-by-step explanation:

Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit

Answers

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

m is the slope of the lineb is the y-intercept

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

1. Ted found out that the rebate is not given until after he has
borrowed money and purchased the car. He decided that this
will not change the total cost. Is he correct? Explain.

Answers

9514 1404 393

Answer:

  maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

  Taxable amount: $20,000 -2,000 = $18,000.

  Price with tax: $18,000 × 1.10 = $19,800

  Amount financed: $19,800.

__

2) The rebate is given after the sale is complete.

  Taxable amount: $20,000

  Price with tax: $20,000 × 1.10 = $22,000

  Amount financed: $22,000

  Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

__

If the loan is for 5 years at 3%, the payments and total costs are ...

  Scenario 1: Monthly payment $355.78;

     total cost of loan: 60×355.78 = 21,346.80

  Scenario 2: Monthly payment $395.31;

     total cost of loan: 55×395.31 = $21,742.05  (note there are fewer payments because of the initial payment to principal of $2000)

__

Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.

_____

We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then there may be no difference in total cost, or the delayed rebate may result in a lower total cost due to the higher monthly payment.

Toms total payment for his loan was $10,368. What was his monthly payment if he paid it off after making 36 monthly payments?

$204
$216
$228
$288

Answers

Answer: D) 288

=======================================================

Explanation:

Divide the given dollar amount over the 36 months mentioned.

(10368)/(36) = 288 dollars is the monthly payment

36 months = 3 years

The measure of an angle is 14.2°. What is the measure of its complementary angle

Answers

Complementary angles are the angles whose sum makes 90 degrees. According to the question, the other angle is 14.2 degrees more than the complementary angle. Therefore, 14.2° will be added to the other angle.

Answer:

75.8º

Step-by-step explanation:

The sum of complimentary angles is 90º

c + 14.2 = 90

Subtract 14.2 from both sides

c = 90 - 14.2

c = 75.8º

Multiply (2.3 x 10^-5) (3.1 x 10^12

Answers

Answer:

71300000

Step-by-step explanation:

See the image below:)

What is the mass of one water molecule in grams

Answers

Answer:

18.02

Step-by-step explanation:

In a geometric sequence, g(3) = 1 and g(8) = 32. Which recursive definition produces this geometric sequence?

Answers

Step-by-step explanation:

a geometric sequence means every new element is created by multiplying the previous element always with the same number.

a n = a n-1 * number

a n = a1 * number^(n-1)

=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)

=> 32/1 = number^5

=>

[tex]number = \sqrt[5]{32} [/tex]

number = 2

and what is the starting a1 ?

it must satisfy e.g. a3

1 = a1 * 2^2

=> a1 = 1/4

therefore, the requested definition looks like

g(1) = 1/4

g(n) = g(n-1) * 2

Evalvate functions helppp!?

Answers

The answer is 19.. substitute -1 into the function whenever you see x put -1 there. This implies that 3+16 =19

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope= -10/3, y- intercept=5

Answers

The answer to this question is y= -10/3x+5

Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

See more on this topic here: https://brainly.com/question/17788099

1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.

Answers

Answer:

depends on the cases. they all have different uses

Can someone please help me?

Answers

The answer is b because I took it and got it w

Answer:

hello it is Alana btw i dk if u remember me tho, but if you do imma get my phone back in august and my old acc got deleted so yeah

Step-by-step explanation:

Solve the following expression when
x = 7 and y = 2
(y + 2) · (x + 4 – 5)

Answers

Answer:

24

Step-by-step explanation:

4 x 6 = 24

A sales person earns $80 for every computer he sells. He earns an additional $250 for every 10 computers he sells that month. How many computers does he need to sell in order to earn $2,340 in a month?

Answers

Answer

23 computer

Step-by-step explanation:

if he sold 20 computers he would make 2100 which then he would need 240 more dollars to reach his goal and to find the answer you would then divide 240 by 80.

what expression is equivalent to 3(x+6)

Answers

Answer:

efthybybybybybybyh

Step-by-step explanation:

rvvttbyby4nun4unrruneun

Answer:

3x+18

Step-by-step explanation:

What is the solution to this system of equations?

3x-2y=5
x+2y=7

x=_, y=_

Answers

Step 1) Solve the second equation for

x

:

x

+

3

y

=

5

x

+

3

y

3

y

=

5

3

y

x

+

0

=

5

3

y

x

=

5

3

y

Step 2) Substitute

5

3

y

for

x

in the first equation and solve for

y

:

3

(

5

3

y

)

2

y

=

7

15

9

y

2

y

=

7

15

11

y

=

7

15

15

11

y

=

15

+

7

0

11

y

=

22

11

y

=

22

11

y

11

=

22

11

11

y

11

=

2

y

=

2

Step 3) Substitute

2

for

y

in the solution to the second equation at the end of Step 1 and calculate x:

x=−5−(3×−2)

x=−5−(−6)

x=−5+6

x=1

The solution is x=1 and y=−2

Answer:

Step-by-step explanation:

ALGEBRA PROBLEM PLEASE HELP

Answers

Answer:

B, C, and F are functions

Step-by-step explanation:

Please help... this is overdue and i need to get it done- (20 points +brainly)

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. Make a ratio table of equivalent ratios to represent this ratio relationship. Your ratio table must show at least four different ratios. Include a copy of the ratio table in your answer.

Answers

Answer: 6/192, 1/32, 2/64, 3/96, etc.

Step-by-step explanation:

The scale drawing says that the length is 6 inches, and the actual length is 16 feet. First, we need to get both values into the same unit. 16 feet is 192 inches. So our base ratio is 6/192, or 1/32. Equivalent Ratios include 2/64 and 3/96. :)

Convert the degree measure into radians.
330°
A 11pi/6
B 11pi/3
C 6pi/7
D 4pi/3

Answers

Answer: A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have 2pi = 360°

=> 2pi× 330/360 = 360° × 330/360

=> 11pi/6 = 330°.

Please keep asking if you still have trouble understanding

A come has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius

Answers

Answer:

The radius is 9cm.

Step-by-step explanation:

225 cm - 144 cm = 81 cm

√81 cm = 9 cm

Solve the equation. Be sure to check for extraneous solutions.

Answers

You can use photo math or math away for a type of question like that

The solution of the expression is,

⇒ x = - 160

What is an expression?

An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

Given that;

The expression is,

⇒ log₄ (- 4x)  - log₄ 10 = 3

Now,

We can solve as;

⇒ log₄ (- 4x)  - log₄ 10 = 3

⇒ log₄ (- 4x/ 10) = 3

⇒ - 4x/10 = 4³

⇒ - 4x / 10 = 64

⇒ - 4x = 640

⇒ x = - 160

Thus, The solution of the expression is,

⇒ x = - 160

Learn more about the mathematical expression visit:

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El ser vivo mas pequeño es un virus que pesa de orden de 10-8 grs, y el mas grande es la ballena azul que pesa aproximadamente 138 Tns. ¿Cuantos virus seràn necesarios para conseguir el peso de la ballena ?

Answers

Answer:

ifabmhxm Myers stentxehbetzegxnbwzryo3

2x^2-2x-4=0 solve for x

Answers

divide both sides by 2 and rewrite too X^2 - x - 2 = 0. then factor and get x(x+1)-2(x+1)=0. separate them to (x+1)(x-2)=0 then you get x+1=0 and x-2=0 and solve and X equals -1 & 2

Math question!
Marta, a jeweler, has 78 ounces of gold. She needs
25 of an ounce for each pendant. How many pendants can she make? Show your thinking!

Answers

Answer:

3.12

Step-by-step explanation:

if you are in an algebra class write the let statements x = number of pendants

25x = 78 (divide by 25 on both sides)

x = 3.12

if you are not in an algebra class then just divide 78 by 25

Please help me with this

Answers

Answer:

(3x6) / 6 is the correct answer

Answer:

(3. 6)/618/63

Thus 3 is the answer to the question

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