Find the product. Simplify your answer. (4w - 4)(4w + 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. (4w - 4)(4w + 3) = 4w(4w) + 4w(3) - 4(4w) - 4(3)Perform Multiplication: Perform the multiplication for each term. Now we multiply the terms together. 4w(4w) = 16w^2 4w(3) = 12w -4(4w) = -16w -4(3) = -12Combine Like Terms: Combine like terms. We add the results of the multiplications together, combining like terms. 16w^2 + 12w - 16w - 12Simplify Expression: Simplify the expression by combining like terms. Now we combine the terms with w. 16w^2 + (12w - 16w) - 12 16w^2 - 4w - 12

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

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4w - 4)(4w + 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. $\newline$ $(4w - 4)(4w + 3) = 4w(4w) + 4w(3) - 4(4w) - 4(3)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ Now we multiply the terms together. $\newline$ $4w(4w) = 16w^2$ $\newline$ $4w(3) = 12w$ $\newline$ $-4(4w) = -16w$ $\newline$ $-4(3) = -12$
Combine Like Terms: Combine like terms. $\newline$ We add the results of the multiplications together, combining like terms. $\newline$ $16w^2 + 12w - 16w - 12$
Simplify Expression: Simplify the expression by combining like terms. $\newline$ Now we combine the terms with $w$ . $\newline$ $16w^2 + (12w - 16w) - 12$ $\newline$ $16w^2 - 4w - 12$