Factor completely: (2x+7)^(2)+3(2x+7) Answer:

Recognize Common Factor: Recognize the common factor in both terms. The expression given is (2x+7)^(2)+3(2x+7). Both terms have a common factor of (2x+7).Factor Out Common Factor: Factor out the common factor (2x+7). We can write the expression as (2x+7)((2x+7)+3) by factoring out (2x+7).Simplify Inside Parentheses: Simplify the expression inside the parentheses. Now we simplify the expression inside the parentheses: (2x+7)(2x+7+3). (2x+7)(2x+7+3) = (2x+7)(2x+10).Write Final Factored Form: Write the final factored form. The completely factored form of the expression is (2x+7)(2x+10).

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Factor completely:

(2x+7)^(2)+3(2x+7)
Answer:

Factor completely: $\newline$ $(2 x+7)^{2}+3(2 x+7)$ $\newline$ Answer:

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Grade 8

Powers with negative bases

Full solution

Q. Factor completely:

\newline

(2 x+7)^{2}+3(2 x+7)

\newline

Answer:

Recognize Common Factor: Recognize the common factor in both terms. $\newline$ The expression given is $(2x+7)^{2}+3(2x+7)$ . Both terms have a common factor of $(2x+7)$ .
Factor Out Common Factor: Factor out the common factor $(2x+7)$ . We can write the expression as $(2x+7)((2x+7)+3)$ by factoring out $(2x+7)$ .
Simplify Inside Parentheses: Simplify the expression inside the parentheses. $\newline$ Now we simplify the expression inside the parentheses: $(2x+7)(2x+7+3)$ . $\newline$ $(2x+7)(2x+7+3) = (2x+7)(2x+10)$ .
Write Final Factored Form: Write the final factored form. $\newline$ The completely factored form of the expression is $(2x+7)(2x+10)$ .