Find the product. Simplify your answer. (z - 3)(4z + 4) ______

Distribute z in second binomial: Now, we will distribute z across the terms in the second binomial. z(4z + 4) = z(4z) + z(4) = 4z^2 + 4zDistribute -3 in second binomial: Next, we will distribute -3 across the terms in the second binomial. -3(4z + 4) = -3(4z) - 3(4) = -12z - 12Combine distributed terms: Now, we will combine the results from the previous two steps to get the full expression. (z - 3)(4z + 4) = (4z^2 + 4z) + (-12z - 12)Simplify the expression: Finally, we will combine like terms to simplify the expression. 4z^2 + 4z - 12z - 12 = 4z^2 - 8z - 12

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Find the product. Simplify your answer. $\newline$ $(z - 3)(4z + 4)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(z - 3)(4z + 4)

Distribute $z$ in second binomial: Now, we will distribute $z$ across the terms in the second binomial. $\newline$ $z(4z + 4) = z(4z) + z(4)$ $\newline$ $= 4z^2 + 4z$
Distribute $-3$ in second binomial: Next, we will distribute $-3$ across the terms in the second binomial. $-3(4z + 4) = -3(4z) - 3(4) = -12z - 12$
Combine distributed terms: Now, we will combine the results from the previous two steps to get the full expression. $\newline$ $(z - 3)(4z + 4) = (4z^2 + 4z) + (-12z - 12)$
Simplify the expression: Finally, we will combine like terms to simplify the expression. $4z^2 + 4z - 12z - 12 = 4z^2 - 8z - 12$