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find the product. simplify your answer.\ $-3t^{2}(-t^{2}-3t - 1)$

Question

find the product. simplify your answer.\
$-3t^{2}(-t^{2}-3t - 1)$

Explanation:

Step1: Distribute $-3t^2$ to each term

$-3t^2(-t^2) + (-3t^2)(-3t) + (-3t^2)(-1)$

Step2: Multiply coefficients and add exponents

$3t^{2+2} + 9t^{2+1} + 3t^2$

Step3: Simplify exponents

$3t^4 + 9t^3 + 3t^2$

Answer:

$3t^4 + 9t^3 + 3t^2$