Factor completely: 3(10 x+7)+(10 x+7)^(2) Answer:

Identify Factors: Identify common factors in both terms. The expression given is 3(10x + 7) + (10x + 7)². We can see that (10x + 7) is a common factor in both terms.Factor Out Common Factor: Factor out the common factor. We can factor out (10x + 7) from both terms to get (10x + 7)(3 + (10x + 7)).Simplify Inside Parentheses: Simplify the expression inside the parentheses. Now we have (10x + 7)(3 + 10x + 7). Combining like terms inside the parentheses gives us (10x + 7)(10x + 10).Check for Further Factoring: Check for any further factoring. The expression (10x + 7)(10x + 10) cannot be factored further since there are no common factors in the terms inside the second parentheses.

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Factor completely:

3(10 x+7)+(10 x+7)^(2)
Answer:

Factor completely: $\newline$ $3(10 x+7)+(10 x+7)^{2}$ $\newline$ Answer:

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Factor completely:

\newline

3(10 x+7)+(10 x+7)^{2}

\newline

Answer:

Identify Factors: Identify common factors in both terms. $\newline$ The expression given is $3(10x + 7) + (10x + 7)^2$ . We can see that $(10x + 7)$ is a common factor in both terms.
Factor Out Common Factor: Factor out the common factor. $\newline$ We can factor out $(10x + 7)$ from both terms to get $(10x + 7)(3 + (10x + 7))$ .
Simplify Inside Parentheses: Simplify the expression inside the parentheses. $\newline$ Now we have $(10x + 7)(3 + 10x + 7)$ . Combining like terms inside the parentheses gives us $(10x + 7)(10x + 10)$ .
Check for Further Factoring: Check for any further factoring. $\newline$ The expression $(10x + 7)(10x + 10)$ cannot be factored further since there are no common factors in the terms inside the second parentheses.