Find the product. Simplify your answer. (w - 1)(2w - 2) ______

Distribute w to first binomial: Now, we will distribute w to both terms in the first binomial. w(2w - 2) = w(2w) - w(2) = 2w^2 - 2wDistribute -1 to second binomial: Next, we will distribute -1 to both terms in the second binomial. -1(2w - 2) = -1(2w) - 1(-2) = -2w + 2Combine like terms: Now, we will combine like terms from the results of the previous two steps. (2w^2 - 2w) + (-2w + 2) = 2w^2 - 2w - 2w + 2 = 2w^2 - 4w + 2

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

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(w - 1)(2w - 2)

Distribute $w$ to first binomial: Now, we will distribute $w$ to both terms in the first binomial. $\newline$ $w(2w - 2) = w(2w) - w(2)$ $\newline$ $= 2w^2 - 2w$
Distribute $-1$ to second binomial: Next, we will distribute $-1$ to both terms in the second binomial. $\newline$ $-1(2w - 2) = -1(2w) - 1(-2)$ $\newline$ $= -2w + 2$
Combine like terms: Now, we will combine like terms from the results of the previous two steps. $\newline$ $(2w^2 - 2w) + (-2w + 2) = 2w^2 - 2w - 2w + 2$ $\newline$ $= 2w^2 - 4w + 2$