SOLUTION: Factor each difference or sum of cubes u³ - 125v³

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Question 148821This question is from textbook Elementary and Intermediate Algebra
: Factor each difference or sum of cubes
u³ - 125v³
This question is from textbook Elementary and Intermediate Algebra

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
u^3-125v^3=u^3-(5v)^3
Now, a^3-b^3=(a-b)(a^2+ab+b^2),
so,
u^3-(5v)^3=(u-5v)(u^2+5uv+25v^2)