Question

factor 8c^3-125d^3 completely,please

Answer 1

Use the formula:
\[a ^{3}-b ^{3}=(a-b)(a ^{2}+ab+b ^{2})\]
\[8c ^{3} = (2c)^{3}\]
\[125d ^{3}=(5d)^{3}\]
So your answer will be:
(2c-5d)(4c^2 + 10cd + 25d^2)