Question

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

Answer 1

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

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