Answer:
2(x+1)(x-1)
Step-by-step explanation:
Answer:
[tex]2(x+1)(x-1)[/tex]
Step-by-step explanation:
QUESTION :-
Factorise [tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]ALGEBRIC IDENTITIES USED IN THIS QUESTION :-
[tex](x + y)^2 = x^2 + y^2 + 2xy[/tex][tex](x-y)^2 = x^2 + y^2 - 2xy[/tex][tex]x^2 - y^2 = (x+y)(x-y)[/tex]PROCEDURE :-
[tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]
[tex]=> [ x + 1 + x - 1]^2 - [(x-1)^2 + (x+1)^2][/tex]
[tex]=> [2x]^2 - [(x^2 + 1 - 2x )+(x^2 + 1 + 2x)][/tex]
[tex]=> 4x^2 - [x^2 + x^2 + 2x - 2x + 1 + 1][/tex]
[tex]=> 4x^2 - [2x^2 + 2][/tex]
[tex]=> 4x^2 - 2x^2 - 2[/tex]
[tex]=> 2x^2 - 2[/tex]
[tex]=> 2(x^2 - 1)[/tex]
[tex]=> 2(x^2 - 1^2)[/tex]
[tex]=> 2(x+1)(x-1)[/tex]
Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.
3^4⋅x⋅(3/x^2)^−2
show your work
Answer:
9x⁵Step-by-step explanation:
Use properties of exponents:
[tex]a^{b} a^{c} = a^{b+c}[/tex], [tex](a^{b} ^)^{c} = a^{bc}[/tex], [tex]1/a^{-b} = a^{b}[/tex]Simplify the given expression:
3⁴⋅x⋅(3/x²)⁻² = 3⁴·x·(3x⁻²)⁻² = 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =3⁴⁻²·x¹⁺4 =3²·x⁵ =9x⁵[tex]\\ \rm\Rrightarrow 3^4x\left(\dfrac{3}{x^2}\right)^{-2}[/tex]
[tex]\\ \rm\Rrightarrow 3^4x\times \left(dfrac{x^2}{3}\right)^2[/tex]
[tex]\\ \rm\Rrightarrow 3^4x\times\dfrac{x^4}{3^2}[/tex]
a^m×a^n=a^m+na^m/a^n=a^m-n[tex]\\ \rm\Rrightarrow 3^2x^5[/tex]
[tex]\\ \rm\Rrightarrow 9x^5[/tex]
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (1 , 1/2), (3, 2)
A) y + 1/2 = 3/4 ( x + 1 ) ; y = 3/4x + 1/4
B) y − 1/2 = 3 ( x − 1 ) ; y = 3x − 1/4
C) y − 1/2 = 3/4 ( x − 1 ) ; y = 3/4x − 1/4
Answer: C
Step-by-step explanation:
Find Slope first
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{2-.5}{3-1}[/tex]
[tex]m=1.5/2\\m=3/4[/tex]
Slope is 3/4
Chose a point to put in point slope form
(1,1/2)
y − y1 = m(x − x1)
[tex]y-\frac{1}{2} =\frac{3}{4} (x-1)[/tex]
[tex]y-\frac{1}{2} = \frac{3}{4}x-\frac{3}{4}[/tex]
add 1/2 to both side
What is the area of the shape below?
39 yd2
30 yd2
36 yd2
24 yd2
please help!!!!!!!!!!!!!!!!
Answer:
9x-4=12x-55.....
as they are vertically opp angles
9x-12x= -55+4
-3x= -51
x= 17
In ANOP, PN = OP and m_0 = 32°. Find m2P.
the perimeter of an envelope is 34 in. it is 12 in wide. how tall is it?
64,000 km in 2 hours. Express its speed in m/s.
The table represents a linear function. Write a rule for this function in the
form of y = mx + b. Then using your function rule find the missing output values.
Answer:
function is f(x) = x+6
and the missing outputs are 19, 24 and 27
Help me on this pleaseeee
Answer:
Step-by-step explanation:
14.4
PLS DO BOTH PROBELMS
1.) 510 miles
Take the values you have been given which is 153 miles and 3 gallons of gas
Now divide 153 by 3 to find put the Miles per gallon (MPG)
153/3=51
now take 51 and multiply it by 10
51x10=510
2.) $16 per yard of plywood
Let's take the values we have been given
3/4 of a yard of plywood and $12 for it
Now let's divide it
12/ 3/4=$16
find the value of x
Answer:
Let the length of missing side x.
x^2 = 16^2 + 30^2
x^2 = 1156
x = √1156
x = 36
Step-by-step explanation:
Hope it is helpful....
Answer:
Step-by-step explanation:
x ² = 16² +30²
x ² = 1156
x = √1156
x =34
77+7
plz help me with this problem dldldlddldldl
Answer:
84
Step-by-step explanation:
1. Set up Problem
2. Add form right to left
Bobbi collected plastic drink bottles and cans that could be recycled to raise money for his school. A recycle depot paid him $0.05 per can and $0.10 per plastic bottle that he brought in
If he raised over $80, what is the minimum number of plastic bottles he collected if he only collected 480 cans?
plastic bottles
Answer:
Step-by-step explanation:
.05c+.1b>80, if 480 cans were collected
.05(480)+.1b>80
24+.1b>80
.1b>56
b>560
So the minimum number of bottles collected is 561
Please help me out, please ill mark you as brainliest if you get this correct.
The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?
Answer:
Shakerville 21° warmer
Step-by-step explanation:
-27 + -6 = 21
A line passes through the points (4, -18) and (1, 3). What is its equation in slope-intercept
form?
Answer:
The slope intercept form is y= 7x -4
Ñ
Henry deposits $7500 in an account earning 2.75% interest compounded monthly. What is the balance in his account after 4 years?
A.$27,579.67
B.$20,160
C.$10,420.49
D.$8371.03
Answer:
Answer is D
Step-by-step explanation:
solve each equation:
I need answers to the problem.
Step-by-step explanation:
x equals 40
.... good luck!
Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?
Step-by-step explanation:
x + 3 = 0
x = - 3
f(x) = 2x³ - 4x² - 28x + 6
f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6
= 2 x (- 27) - (4 x 9) + 84 + 6
= - 54 - 36 + 90
= - 90 + 90
= 0
Therefore,
x + 3 is factor of 2x³ - 4x² - 28x + 6
please answer
A number line is shown below. The numbers 0 and 1 are marked on the line, as are the two other rational numbers a and b
Will a - 1 be positive or negative? explain.
Answer:
I think it will be positive.
Step-by-step explanation:
Anything that is on the right hand side of the number line is always positive.
Solve: 5 + x = 3( x - 7) + 6
Answer:
x=10
Step-by-step explanation:
Step-by-step explanation:
5+x=3(x-7)+6
5+x-3x+21-6=0
-2x+20=0
-2x=-20
x=-20/(-2)
x=10
Help me please!!! Whats the length for w?
Answer:
(The second option) sin40° = w / 28
Step-by-step explanation:
sin40° = opposite / hypotenuse
sin40° = w / 28
please help and do problems 6, 7 and 8 for me thank you :)
Martin has 64 sticks of gum altogether. How many packs of gum does he have?
What is the value of 8m + 5n when m = 4 and n = 10?
Answer:
82
Step-by-step explanation:
m = 4
8m = 4 x 8 = 32
n = 10
5n = 5 x 10 = 50
32 + 50 = 82
〖x/y^(-1) )〗^0 〖(x^(-1)/y^2 )〗^2 〖(xy^2)〗^(-1)
Exponent solving
What is 12x + 5 = 6x + 17
Answer:
x=2
Step-by-step explanation:
Divide £60 in a ratio of 2:1
£40 and £20
Step-by-step explanation:
let the parts be 2x and x (2:1)
2x+x=£60
or, 3x= £60
or, x= £20
2x=2×£20=£40
x=£20
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Option b) total number of miles for the trip .
maybe this was your answer