SOLUTION: Which of the following is equal to (3u-4v)^3 when expanded and simplified? a.27u^3 + 108u^2v - 144v^2u + 64v^3 b.27u^3 - 12v^3 c.27u^3 - 64v^3 d.27u^3 - 108u^2v + 144v^2u - 1

Algebra ->  Exponents -> SOLUTION: Which of the following is equal to (3u-4v)^3 when expanded and simplified? a.27u^3 + 108u^2v - 144v^2u + 64v^3 b.27u^3 - 12v^3 c.27u^3 - 64v^3 d.27u^3 - 108u^2v + 144v^2u - 1      Log On


   

Question 1092057: Which of the following is equal to (3u-4v)^3 when expanded and simplified?
a.27u^3 + 108u^2v - 144v^2u + 64v^3
b.27u^3 - 12v^3
c.27u^3 - 64v^3
d.27u^3 - 108u^2v + 144v^2u - 12v^3
e.27u^3 - 108u^2v + 144v^2u - 64v^3
thanks in advance! can't really remember how to expand these terms yet, still working on it.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distributive property and FOIL method,
%283u-4v%29%5E3=%283u-4v%29%283u-4v%29%5E2
%283u-4v%29%5E3=%283u-4v%29%289u%5E2-24uv%2B16v%5E2%29
%283u-4v%29%5E3=%283u%29%289u%5E2-24uv%2B16v%5E2%29-%284v%29%289u%5E2-24uv%2B16v%5E2%29
%283u-4v%29%5E3=%2827u%5E2-72u%5E2v%2B48uv%5E2%29-%2836u%5E2v-96uv%5E2%2B64v%5E3%29
Finish it from there.