Factor completely: 6x^(2)(2x-7)-7(2x-7) Answer:

Identify Common Factor: Identify the common factor in both terms. The expression is 6x^2(2x-7) - 7(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)(6x^2 - 7).Check for Further Factoring: Check if the remaining terms can be factored further. The remaining terms inside the parentheses are 6x^2 and -7, which do not have any common factors other than 1, and 6x^2 is not a perfect square nor is -7. Therefore, the expression is fully factored.Write Final Answer: Write the final answer. The completely factored form of the expression is (2x-7)(6x^2 - 7).

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Factor completely:

6x^(2)(2x-7)-7(2x-7)
Answer:

Factor completely: $\newline$ $6 x^{2}(2 x-7)-7(2 x-7)$ $\newline$ Answer:

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Factor completely:

\newline

6 x^{2}(2 x-7)-7(2 x-7)

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms. $\newline$ The expression is $6x^2(2x-7) - 7(2x-7)$ . 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 $(2x-7)(6x^2 - 7)$ .
Check for Further Factoring: Check if the remaining terms can be factored further. The remaining terms inside the parentheses are $6x^2$ and $-7$ , which do not have any common factors other than $1$ , and $6x^2$ is not a perfect square nor is $-7$ . Therefore, the expression is fully factored.
Write Final Answer: Write the final answer. $\newline$ The completely factored form of the expression is $(2x-7)(6x^2 - 7)$ .