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Effectus [21]
2 years ago
12

Factor this expression completely. u^3 - v^3

Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Completely factored form of u^3-v^3 is:

(u-v)(u^2+uv+v^2)

Step-by-step explanation:

Algebraic formulas are used to factorize the expression.

Given

u^3 - v^3

The formula involving cube with negative sign is:

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

Using this formula:

u^3-v^3 = (u)^3 - (v)^3\\= (u-v)(u^2+uv+v^2)

Hence,

Completely factored form of u^3-v^3 is:

(u-v)(u^2+uv+v^2)

Keywords: Factorization

Learn more about factors at:

  • brainly.com/question/13063819
  • brainly.com/question/13219835

#LearnwithBrainly

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Can someone give me the answers plz:)
Alborosie

Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.  

Solve

A

\dfrac{x + 1.6}{2} =\text{x + 0.1}                    Multiply by 2

x + 1.6 = 2(x + 0.1)                                         Remove the brackets

x + 1.6 = 2x + 0.1*2                                        

x + 1.6 = 2x + 0.2                                          Subtract x from both sides

1.6 = x + 0.2                                                  Subtract 0.2 from both sides  

1.6 - 0.2 = x                        

1.4 = x

Circle A

B

Subtract 2x from both sides.

3x - 2x = 1.4

Circle B

C

Remove the brackets.

4x + 6 = 2x - 6           Add 6 to both sides

4x + 12 = 2x               Subtract 4x from both sides.

12 = -2x                      Divide by - 2

12/-2 = x

x = - 6                         Don't circle C

D

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

Circle D

5 0
3 years ago
Read 2 more answers
Cindy claims that 4x/12x= 1/3. Enter a whole number that supports Cindy's claim, and then enter a whole number that does not sup
galina1969 [7]
A whole number that would support Cindys claim would be 2 because if u do the ,math it would be 8/24 which would be .333 repeating which is simplify to 1/3 and i do not know a number that would not work.
4 0
3 years ago
The area of a rectangular garden in square feet is x^2+35x-450. The width is (x-10) feet. What is the length of the garden?
Stels [109]
X^2 + 35x - 450
Factor
(x + 45)(x - 10)

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7 0
3 years ago
An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the cone. If t
Ratling [72]
If the total volume of the ice cream exceeds the internal volume of the cone, then it will overflow.

Volume of icecream = 4/3 * pi * r^3 = 4/3*pi*(1)^3 = 4.189 cu. in.Volume of cone = 1/3 * pi * r^2 * h = 1/3*pi*(1)^2*5 = 5.236 cu. in.

Since Volume of cone > Volume of icecream, the cone will not overflow.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
5 0
3 years ago
You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounde
Mademuasel [1]

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

A= P(1+t)^t

Inserting our values to solve for A we have

A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70

5 0
3 years ago
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