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find the product. simplify your answer. $4p^{2}(-2p^{2}+8)$

Question

find the product. simplify your answer. $4p^{2}(-2p^{2}+8)$

Explanation:

Step1: Distribute $4p^2$ to first term

$4p^2 \times (-2p^2) = -8p^{2+2} = -8p^4$

Step2: Distribute $4p^2$ to second term

$4p^2 \times 8 = 32p^2$

Step3: Combine the two results

$-8p^4 + 32p^2$

Answer:

$-8p^4 + 32p^2$