Question

Simplify the following differences of polynomials completely ( - 12z raise to power 2 + 8z - 15) - (4z raise to power 2 + 13)

Answer 1

Given :

$(-12z^2+8z-15)-(4z^2+13)$

Take the minus sign inside the bracket.

$=-12z^2+8z-15-4z^2-13$

Solve like terms, like terms are terms that contain the same variables with the same power.

$=-12z^2-4z^2+8z-15-13$

$=-16z^2+8z-28$

Hence the answer is

$(-12z^2+8z-15)-(4z^2+13)=-16z^2+8z-28$