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

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. (c + 2)(4c - 2) = c(4c) + c(-2) + 2(4c) + 2(-2)Perform Multiplication: Perform the multiplication for each pair of terms. Multiply c by 4c, c by -2, 2 by 4c, and 2 by -2. c(4c) = 4c^2 c(-2) = -2c 2(4c) = 8c 2(-2) = -4Combine Results: Combine the results from Step 2. Add all the products together to get the simplified form. 4c^2 - 2c + 8c - 4Combine Like Terms: Combine like terms. Combine the -2c and 8c terms to simplify the expression further. 4c^2 + (8c - 2c) - 4 4c^2 + 6c - 4

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(c + 2)(4c - 2)

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. $\newline$ $(c + 2)(4c - 2) = c(4c) + c(-2) + 2(4c) + 2(-2)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ Multiply $c$ by $4c$ , $c$ by $-2$ , $2$ by $4c$ , and $2$ by $-2$ . $\newline$ $c(4c) = 4c^2$ $\newline$ $c(-2) = -2c$ $\newline$ $4c$ $0$ $\newline$ $4c$ $1$
Combine Results: Combine the results from Step $2$ . $\newline$ Add all the products together to get the simplified form. $\newline$ $4c^2 - 2c + 8c - 4$
Combine Like Terms: Combine like terms. $\newline$ Combine the $-2c$ and $8c$ terms to simplify the expression further. $\newline$ $4c^2 + (8c - 2c) - 4$ $\newline$ $4c^2 + 6c - 4$