What is the least common multiple of x^2-16 and
x^2+4x-32?

What Is The Least Common Multiple Of X^2-16 Andx^2+4x-32?

Answers

Answer 1

The least common multiple is the smallest expression that can be divided by both of the given expressions.

x^2 - 16 = (x - 4)(x + 4)

x^2 + 4x - 32 = (x + 8)(x - 4)

Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.

LCM = (x - 4)(x + 4)(x + 8)

Hope this helps! :)

Answer 2

Answer:

(x - 4)(x + 4)(x + 8)

Step-by-step explanation:

Factorize the given expressions:

x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)

The LCM is the product of all unique  factors of both expressions:

(x - 4)(x + 4)(x + 8)

Related Questions

Can someone help Pleasaseee

Answers

Answer:

i think it's 1.8.

Step-by-step explanation:

why? bc if u add 6/20 + 1.5 = 1.8

i think it's 1.8, im not sure, hopefully it's correct!!

Answer:

1.8

Step-by-step explanation:

you just simplify -6/20 into a decimal and you get .3 then you add it to 1.5.

I NEED HELP PLEASE 15 POINTS

13) Given that m∠EFJ = 70°, find m∠KFG. A) 10° B) 20° C) 30° D) 40°

Answers

Answer:

20°

Step-by-step explanation:

∡EFJ = 70°

∡JFK = 90°

So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°

Answer:

60

Step-by-step explanation:

i put 30 then it said the answer was 60

what is the slope of (-1,-2) and (-2,2)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4[/tex]

-4 used slope formula y2-y1/x2-x1
2--2/-2--1 =4/-1 or -4

£ 23 PER WEEK TRAVEL HOW MUCH FOR 2 YEARS

Answers

Answer: the cost would be 2398.19

Step-by-step explanation: hope this helps:)

7084..........................

3.8×102+1.7×103 giving answer in standard form

Answers

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?

4. Reasoning Suppose △ABC ∼△TUV. Determine whether each pair of measures is equal.
a. the measures of ∠A and ∠T
b. the perimeters of the two triangles
c. the ratios of the sides BC/UV and AC/TV

5. Reasoning ＀e scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.

Answers

Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.

(3) Corresponding sides of △MNP and △RST

Given that △MNP ∼△RST.

This means that, the corresponding sides are:

MN and RSMP and RTNP and ST

(4) The equal measures

Given that △ABC ∼△TUV

This means that, the corresponding angles are equal, but corresponding sides are not.

So, the equal measures are:

(a). the measures of ∠A and ∠T (c). the ratios of the sides BC/UV and AC/TV

The unequal measure is:

(b). the perimeters of the two triangles

(c) Scale mapping

The scale mapping is given as:

[tex]Ratio = 1\ in : 100\ mi[/tex]

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.

Take for instance, 5 inches would represent 500 miles.

500 is 5 times 100

Hence, the actual distance between two towns 100 times the map distance between the two towns

Read more about similar triangles at:

https://brainly.com/question/14285697

How do I get the result for 1/8 out of 40?

Answers

Answer:

5

Step-by-step explanation:

You divide your number by the denominator and then times it by the numerator

Answer:5
Step by step
You divide your number by the denominator and the time it by the numerator

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?


Answers

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

Which of the following statements about the image below is true?

Answers

Answer:

d. Line UR and Line VW are parallel

Step-by-step explanation:

If they were to continue going straight, they would not touch, making them parallel.

I hope this helps!

Use green’s theorem to evaluate

Answers

By Green's theorem (all the conditions are met), we have

[tex]\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy[/tex]

where D is the interior of the path C, or the set

[tex]D = \left\{ (x, y) : 0 \le y \le \dfrac{x^2}2 \text{ and } 0 \le x \le 2 \right\}[/tex]

So, the line integral reduces to the double integral,

[tex]\displaystyle \frac12 \int_0^2 \int_0^{\frac{x^2}2} x^{-\frac12} - y^{-\frac12} \, dy \, dx[/tex]

[tex]\displaystyle = \frac12 \int_0^2 x^{-\frac12}\left(\frac{x^2}2\right) - 2\left(\frac{x^2}2\right)^{\frac12} \, dx[/tex]

[tex]\displaystyle = \frac12 \int_0^2 \frac12 x^{\frac32} - \sqrt 2 \, x \, dx[/tex]

[tex]\displaystyle = \frac14 \int_0^2 x^{\frac32} - 2\sqrt 2 \, x \, dx[/tex]

[tex]\displaystyle = \frac14 \left(\frac25\cdot2^{\frac52} - \sqrt2\cdot2^2\right) = \boxed{-\frac{3\sqrt2}5}[/tex]

A squares diagonal is 22. What is the length of each side?

Answers

Answer:

[tex]\sqrt{242}[/tex]

Multiply and fill in the blanks
a) 5pq(p2+ q2+pq)
b) -7pr (pq – qr - rq)
c) (4x-3y) (5x-4a)

with explanation pls !

Answers

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; https://brainly.com/question/4344214

evaluate:

16÷(2+12)2

A. 2 14/25

B. 4 1/4

C. 6 2/5

D. 8 1/4

Answers

The result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].

The given parameters:

16÷(2+12)2

The given expression can be evaluated in the following order as shown below;

add the numbers in the bracket;

2 + 12 = 14

multiply the numbers in the bracket by 2;

14 x 2 = 28

divide the 16 by your result after the multiplication;

[tex]= \frac{16}{28} \\\\[/tex]

divide the numerator and denominator by their common factor which is 4;

[tex]\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}[/tex]

Thus, the result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].

Learn more about simplification of algebra here: https://brainly.com/question/432678

The large rectangle below represents one whole. What percent is represented by the shaded area? %​

Answers

Answer:

Step-by-step explanation:

would help a lot if you show the picture or describe it very well.

There are some red and blue balls in a bag of 21 balls and the probability of picking 2 red balls out in a row is 1/14 how many red balls are there?

Answers

Answer:

6 red balls

Step-by-step explanation:

The probability in the first pick

6/21

The probability in the second pick (without replacement)

5/20

the requested probability

(6/21)(5/20) = 30/420

simplification

30/420 = 3/42 = 1/14

Hope this helps

Answer:

6 red balls.

Step-by-step explanation:

If there are x red balls then

probability of 2 red balls

= x/21 * (x - 1)/20 = 1/14

x^2 - x / 420 = 1/14

x^2 - x = 30

x^2 - x - 30 = 0

(x - 6)(x + 5) = 0

x = 6.

LOOK AT THE PICTURE ATTACHED AND HELP QUICKLLYYYYY PLZZZ!!!!

Answers

Answer: √490  

Step-by-step explanation:

       

Don’t know where to start

Answers

Step-by-step explanation:

C = 2πr = 2 x π x 6 = 37.69911

х Y
2 4
4 5
7. 6.5

Write the equation of the line represented by the table

Answers

Answer:

y = 0.5x + 3

Step-by-step explanation:

What is the function rule for the line?

Answers

Answer: It is f(x)= -3/2x-2

Step-by-step explanation: f(x) is the same as y. The formula for a line is slope-intercept form (y=mx+b). The -2 is the y-intercept, and the line intercepts the graph at -2. The slope is -3/2 because it rises 3 and goes to the left -2.

19z+12=20z–8
help i dont really understanddd!!!

Answers

Answer:

z = 20

Step-by-step explanation:

subtract 19z from 20z, and add 8 to 12. you will be left with 20 = 1z. Divide 1 by 20 and you will have Xz =20.

I hope this helps!

In order to solve the following system of equations by elimination, which process creates opposite coefficients to eliminate the y variable?

2x + y = 5
x + 4y = -7


A. Multiply the first equation by 4

B. Multiply the second equation by 2

C. Multiply the first equation by -4

D. Multiply the second equation by -2

Answers

Answer:

C. Multiply the first equation by -4

Step-by-step explanation:

Hi there!

In order to eliminate the y values, we would have to find a number in which the sum of the top y value and the bottom y value would equal 0. In this case, the bottom y value is equal to +4 (the +4y), so we would have to find the number that would add to make that 0, which is -4. Since the y value for the top equation is 1, all we have to do is multiply the equation by -4 so that our y value is equal to -4y and the y can be eliminated.

I hope this helps!!

A graph, a table and equation are shown below. Please help!

Answers

Answer:

A) slope is 1

B) Slope is 3

C) slope is 0.5

Step-by-step explanation:

Using Rise over run method and mx+b

2 FOR 2.20 UNIT RATE

Answers

Answer: (if your asking for the unit rate of that)

the unit rate is 1.10

Answer:

1.10

Step-by-step explanation:

2 /2 = 1

20/ 2 = 10

1.10 is the unit rate

Y=x+3 please helppppppppppol

Answers

Answer:

(-1, 2), (0,3), (1,4)

slope= 1

y-intercept= (0,3)

Step-by-step explanation:

16 #5) Describe the error in finding the value of x. ​

Answers

They forgot 90. Add 90 to the equation to make it correct.

Resuelve la siguiente ecuación lineal: 13-4(5x+1)=3(7-5x)-15

Answers

.........................

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

Multiply coordinates by scale factor 1.5
A = (3,0)
B = (0,-3)
C = (-3,1.5)
D = (1.5,3)

find the greatest common factor GCF and the least common multiple LCM of these Numbers. 8and 9

Answers

Answer:

LCM is [tex]72[/tex]

GCF is [tex]1[/tex]

Step-by-step explanation:

LCM is least common multiplier

LCM of

[tex]8,9=8\times 9\\\\=72[/tex]

GCF is greatest common factor

Factors of [tex]8=1,2,4,8[/tex]

Factors of [tex]9=1,3,9[/tex]

Greatest common factor is [tex]1[/tex]

GCF is [tex]1[/tex]

Help me to solve this

Answers

Step-by-step explanation:

first we use Pythagoras to get t :

c² = a² + b²

with c being the Hypotenuse.

so,

t² = r² + s² = 10² + 31² = 100 + 961 = 1061

t = sqrt(1061)

and then we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the angles being opposite of their related sides.

so, r/sin(R) = t/sin(T) = t/sin(90) = t/1 = t

sin(R) = r/t = 10/sqrt(1061) = 0.30700278...

R = 17.8786966... ≈ 17.9°

In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the area of the trapezoid if AC = 3, AD = 5.

Answers

Answer:

10.5

Step-by-step explanation:

A=a+b

2h=2+5

2·3=10.5

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

Step-by-step explanation:

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