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Effectus [21]
3 years ago
12

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

Mathematics
1 answer:
Musya8 [376]3 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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