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Find the product. Simplify your answer. $\newline$ $(2z - 2)(z + 1)$

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Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(2z - 2)(z + 1)

Distribute $2z$ : Now, we will distribute $2z$ across the terms inside the parentheses. $2z(z + 1) = 2z \times z + 2z \times 1$ $= 2z^2 + 2z$
Distribute $-2$ : Next, we will distribute $-2$ across the terms inside the parentheses. $\newline$ -2(z + 1) = -2 \times z - 2 \times 1\(\newline= -2z - 2\)
Combine terms: Now, we will combine the results from the previous steps. $\newline$ $(2z - 2)(z + 1) = 2z^2 + 2z - 2z - 2$
Simplify expression: We will simplify the expression by combining like terms. $\newline$ $2z^2 + 2z - 2z - 2 = 2z^2 + (2z - 2z) - 2$ $\newline$ $= 2z^2 - 2$

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