Factor completely: 6x(x-5)+7(x-5) Answer:

Identify Common Factor: Identify the common factor in both terms of the expression. The expression is 6x(x-5)+7(x-5). Both terms have a common factor of (x-5).Factor Out Common Factor: Factor out the common factor from both terms. We can write the expression as (x-5) multiplied by the sum of the coefficients of (x-5), which are 6x and 7. So, 6x(x-5)+7(x-5) = (x-5)(6x+7).Check Factored Expression: Check the factored expression by distributing (x-5) across (6x+7) to ensure it results in the original expression. (x-5)(6x+7) = 6x(x-5) + 7(x-5), which is the original expression.

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Factor completely:

6x(x-5)+7(x-5)
Answer:

Factor completely: $\newline$ $6 x(x-5)+7(x-5)$ $\newline$ Answer:

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Grade 8

Powers with negative bases

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Q. Factor completely:

\newline

6 x(x-5)+7(x-5)

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms of the expression. $\newline$ The expression is $6x(x-5)+7(x-5)$ . Both terms have a common factor of $(x-5)$ .
Factor Out Common Factor: Factor out the common factor from both terms. $\newline$ We can write the expression as $(x-5)$ multiplied by the sum of the coefficients of $(x-5)$ , which are $6x$ and $7$ . $\newline$ So, $6x(x-5)+7(x-5) = (x-5)(6x+7)$ .
Check Factored Expression: Check the factored expression by distributing $(x-5)$ across $(6x+7)$ to ensure it results in the original expression. $\newline$ $(x-5)(6x+7) = 6x(x-5) + 7(x-5)$ , which is the original expression.