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

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. (2c - 4)(c + 4) = 2c(c) + 2c(4) - 4(c) - 4(4)Perform Multiplication: Perform the multiplication for each term. Now we multiply the terms together. 2c(c) = 2c^2 2c(4) = 8c -4(c) = -4c -4(4) = -16Combine Like Terms: Combine like terms. We add the terms that have the same variable to simplify the expression. 2c^2 + 8c - 4c - 16 2c^2 + (8c - 4c) - 16 2c^2 + 4c - 16

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2c - 4)(c + 4)

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. $\newline$ $(2c - 4)(c + 4) = 2c(c) + 2c(4) - 4(c) - 4(4)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ Now we multiply the terms together. $\newline$ $2c(c) = 2c^2$ $\newline$ $2c(4) = 8c$ $\newline$ $-4(c) = -4c$ $\newline$ $-4(4) = -16$
Combine Like Terms: Combine like terms. $\newline$ We add the terms that have the same variable to simplify the expression. $\newline$ $2c^2 + 8c - 4c - 16$ $\newline$ $2c^2 + (8c - 4c) - 16$ $\newline$ $2c^2 + 4c - 16$