Find the product. Simplify your answer. (w - 4)(2w - 3) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (w - 4)(2w - 3) = w(2w) + w(-3) - 4(2w) - 4(-3)Perform Multiplication: Perform the multiplication for each pair of terms. Multiply w by 2w, w by -3, -4 by 2w, and -4 by -3. w(2w) = 2w^2 w(-3) = -3w -4(2w) = -8w -4(-3) = 12Combine Results: Combine the results from Step 2. Add all the products together to get the simplified form. (2w^2) + (-3w) + (-8w) + 12Combine Like Terms: Combine like terms. Combine the terms with w to simplify the expression further. 2w^2 - 3w - 8w + 12 2w^2 - 11w + 12

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Find the product. Simplify your answer. $\newline$ $(w - 4)(2w - 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(w - 4)(2w - 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(w - 4)(2w - 3) = w(2w) + w(-3) - 4(2w) - 4(-3)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ Multiply $w$ by $2w$ , $w$ by $-3$ , $-4$ by $2w$ , and $-4$ by $-3$ . $\newline$ $w(2w) = 2w^2$ $\newline$ $w(-3) = -3w$ $\newline$ $2w$ $0$ $\newline$ $2w$ $1$
Combine Results: Combine the results from Step $2$ . $\newline$ Add all the products together to get the simplified form. $\newline$ $(2w^2) + (-3w) + (-8w) + 12$
Combine Like Terms: Combine like terms. $\newline$ Combine the terms with $w$ to simplify the expression further. $\newline$ $2w^2 - 3w - 8w + 12$ $\newline$ $2w^2 - 11w + 12$