Factor completely: 2x(x+8)+7(x+8) Answer:

Identify Common Factor: Identify the common factor in both terms. Both terms 2x(x+8) and 7(x+8) have a common factor of (x+8).Factor Out Common Factor: Factor out the common factor (x+8). The expression can be written as (x+8)(2x+7) by factoring out the common factor (x+8).Check Factored Expression: Check the factored expression by distributing (x+8) across (2x+7). Distributing gives us 2x(x+8) + 7(x+8), which is the original expression, confirming that the factoring is correct.

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Factor completely:

2x(x+8)+7(x+8)
Answer:

Factor completely: $\newline$ $2 x(x+8)+7(x+8)$ $\newline$ Answer:

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

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Q. Factor completely:

\newline

2 x(x+8)+7(x+8)

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms. $\newline$ Both terms $2x(x+8)$ and $7(x+8)$ have a common factor of $(x+8)$ .
Factor Out Common Factor: Factor out the common factor $(x+8)$ . The expression can be written as $(x+8)(2x+7)$ by factoring out the common factor $(x+8)$ .
Check Factored Expression: Check the factored expression by distributing $(x+8)$ across $(2x+7)$ . Distributing gives us $2x(x+8) + 7(x+8)$ , which is the original expression, confirming that the factoring is correct.