Find the product. Simplify your answer. (p + 4)(4p + 2) ______

Distribute p to first binomial: Now, we will distribute p to both terms in the first binomial. p(4p + 2) = p(4p) + p(2) = 4p^2 + 2pDistribute 4 to second binomial: Next, we will distribute 4 to both terms in the second binomial. 4(4p + 2) = 4(4p) + 4(2) = 16p + 8Combine like terms: Now, we will combine like terms from the results of the previous two steps. (4p^2 + 2p) + (16p + 8) = 4p^2 + 2p + 16p + 8Add like terms: Finally, we will add the like terms to simplify the expression. 4p^2 + 2p + 16p + 8 = 4p^2 + (2p + 16p) + 8 = 4p^2 + 18p + 8

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Find the product. Simplify your answer. $\newline$ $(p + 4)(4p + 2)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(p + 4)(4p + 2)

Distribute $p$ to first binomial: Now, we will distribute $p$ to both terms in the first binomial. $p(4p + 2) = p(4p) + p(2) = 4p^2 + 2p$
Distribute $4$ to second binomial: Next, we will distribute $4$ to both terms in the second binomial. $4(4p + 2) = 4(4p) + 4(2) = 16p + 8$
Combine like terms: Now, we will combine like terms from the results of the previous two steps. $\newline$ $(4p^2 + 2p) + (16p + 8) = 4p^2 + 2p + 16p + 8$
Add like terms: Finally, we will add the like terms to simplify the expression. $\newline$ $4p^2 + 2p + 16p + 8 = 4p^2 + (2p + 16p) + 8 = 4p^2 + 18p + 8$