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Apply the distributive property to factor out the greatest common factor.

56+32=

Apply the distributive property to factor out the greatest common factor. $\newline$ $56+32=$

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Understanding exponents

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Q. Apply the distributive property to factor out the greatest common factor.

\newline

56+32=

Identify GCF of $56$ and $32$ : Identify the greatest common factor (GCF) of $56$ and $32$ . $\newline$ To find the GCF, we list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $56$ : $1$ , $2$ , $4$ , $7$ , $8$ , $32$ $0$ , $32$ $1$ , $56$ $\newline$ Factors of $32$ : $1$ , $2$ , $4$ , $8$ , $32$ $8$ , $32$ $\newline$ The GCF of $56$ and $32$ is $8$ .
Use distributive property to factor out GCF: Use the distributive property to factor out the GCF from the expression $56 + 32$ . $\newline$ The distributive property states that $a(b + c) = ab + ac$ . In this case, we factor out the GCF, which is $8$ . $\newline$ So, $56 + 32$ can be written as $8(7) + 8(4)$ .
Simplify the factored expression: Simplify the factored expression. $\newline$ Now we combine the terms inside the parentheses. $\newline$ $8(7) + 8(4) = 8 \times (7 + 4)$ $\newline$ $= 8 \times 11$ $\newline$ $= 88$

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