How do you factor #z^3 - 125#?
1 Answer
Jan 24, 2017
Explanation:
This is a
#color(blue)"difference of cubes"# and factorises, in general, as shown.
#color(red)(bar(ul(|color(white)(2/2)color(black)(a^3-b^3=(a-b)(a^2+ab+b^2))color(white)(2/2)|)))#
#"here " (z)^3=z^3" and " (5)^3=125#
#rArra=z" and " b=5#
#rArrz^3-125=(z-5)(z^2+5z+25)#
