Question

simplify each product
$-z^2(z - 9)$
options:
$-z^3 + 9z^2$
$z^3 + 9z$
$z^3 - 9z^2$
$z^2 + 9z$

Explanation:

Step1: Apply distributive property

$-z^2(z) + (-z^2)(-9)$

Step2: Multiply terms and simplify

$-z^{2+1} + 9z^2 = -z^3 + 9z^2$

Answer:

$-z^3+9z^2$