Find the product. Simplify your answer. (4w + 1)(w - 4) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials (4w + 1) and (w - 4). (4w + 1)(w - 4) = 4w(w - 4) + 1(w - 4)Distribute 4w: Distribute 4w across the terms in the second binomial. 4w(w - 4) = 4w * w - 4w * 4 = 4w^2 - 16wDistribute 1: Distribute 1 across the terms in the second binomial. 1(w - 4) = 1 * w - 1 * 4 = w - 4Combine Results: Combine the results from Step 2 and Step 3. (4w + 1)(w - 4) = 4w^2 - 16w + w - 4Combine Like Terms: Combine like terms. 4w^2 - 16w + w - 4 = 4w^2 - 15w - 4

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Find the product. Simplify your answer. $\newline$ $(4w + 1)(w - 4)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4w + 1)(w - 4)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(4w + 1)$ and $(w - 4)$ . $(4w + 1)(w - 4) = 4w(w - 4) + 1(w - 4)$
Distribute $4w$ : Distribute $4w$ across the terms in the second binomial. $\newline$ $4w(w - 4) = 4w \times w - 4w \times 4$ $\newline$ $= 4w^2 - 16w$
Distribute $1$ : Distribute $1$ across the terms in the second binomial. $\newline$ $1(w - 4) = 1 \times w - 1 \times 4$ $\newline$ $= w - 4$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4w + 1)(w - 4) = 4w^2 - 16w + w - 4$
Combine Like Terms: Combine like terms. $\newline$ $4w^2 - 16w + w - 4 = 4w^2 - 15w - 4$