Question

find the product. simplify your answer.
-3z²(-3z² + 4z)

Explanation:

Step1: Distribute the term outside

Multiply $-3z^2$ by each term inside the parentheses.
$(-3z^2)(-3z^2) + (-3z^2)(4z)$

Step2: Calculate first product

Multiply coefficients and add exponents of $z$.
$(-3 \times -3)z^{2+2} = 9z^4$

Step3: Calculate second product

Multiply coefficients and add exponents of $z$.
$(-3 \times 4)z^{2+1} = -12z^3$

Step4: Combine the results

Add the two simplified terms together.
$9z^4 - 12z^3$

Answer:

$9z^4 - 12z^3$