How do you factor 216u^3 - v^3216u3−v3?
1 Answer
May 24, 2016
Explanation:
This is a
color(blue)"difference of cubes"difference of cubes and in general is factorised as follows.
color(red)(|bar(ul(color(white)(a/a)color(black)(a^3-b^3=(a-b)(a^2+ab+b^2))color(white)(a/a)|))) here
216u^3=(6u)^3rArra=6u and
v^3=(v)^3rArrb=v
rArr216u^3-v^3=(6u-v)(36u^2+6uv+v^2)