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Find the product. Simplify your answer. $\newline$ $4t^2(t^2 - 1)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

4t^2(t^2 - 1)

Distribute $4t^2$ : We need to distribute $4t^2$ to both terms inside the parentheses: $t^2$ and $-1$ . $\newline$ $4t^2(t^2 - 1) = 4t^2 \times t^2 - 4t^2 \times 1$
Simplify $4t^2 \times t^2$ : Now, simplify $4t^2 \times t^2$ . $\newline$ $4t^2 \times t^2 = 4 \times t^2 \times t^2 = 4t^4$
Simplify $4t^2 \times 1$ : Next, simplify $4t^2 \times 1$ . $\newline$ $4t^2 \times 1 = 4t^2$
Combine simplified terms: Combine the two simplified terms to get the final simplified expression. $\newline$ $4t^2(t^2 - 1) = 4t^4 - 4t^2$

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