Simplify (x-3) (x^2+7x-8)

A common way to simplify this problem would be to use an area model, or the distributive property. Using the distributive property does not require any drawing, so here goes.

(x-3) (x²+7x-8) Distribute by multiplying each of the terms in the first set of parentheses by every term in the second set of parentheses.

x³+7x³-8x-3x²-21x+24 Then combine alike terms.

8x³-3x²-29x+24 Is your final answer.