Completely factored form of u^3-v^3 is:
[tex](u-v)(u^2+uv+v^2)[/tex]
Step-by-step explanation:
Algebraic formulas are used to factorize the expression.
Given
[tex]u^3 - v^3[/tex]
The formula involving cube with negative sign is:
[tex]a^3-b^3 = (a-b)(a^2+ab+b^2)[/tex]
Using this formula:
[tex]u^3-v^3 = (u)^3 - (v)^3\\= (u-v)(u^2+uv+v^2)[/tex]
Hence,
Completely factored form of u^3-v^3 is:
[tex](u-v)(u^2+uv+v^2)[/tex]
Keywords: Factorization
Learn more about factors at:
- brainly.com/question/13063819
- brainly.com/question/13219835
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