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Which expression is the result of factoring the expression below by taking out its greatest common factor?
12x^(2)+8=?
Choose 1 answer:
(A) 2(6x+4)
(B) 4(3x^(2)+2)
(C) 2(6x^(2)+4)
(D) 4(3x+2)

Which expression is the result of factoring the expression below by taking out its greatest common factor? $\newline$ $12x^{2}+8=?$ $\newline$ Choose $1$ answer: $\newline$ (A) $2(6x+4)$ $\newline$ (B) $4(3x^{2}+2)$ $\newline$ (C) $2(6x^{2}+4)$ $\newline$ (D) $4(3x+2)$

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Factor sums and differences of cubes

Full solution

Q. Which expression is the result of factoring the expression below by taking out its greatest common factor?

\newline

12x^{2}+8=?

\newline

Choose

1

answer:

\newline

(A)

2(6x+4)

\newline

(B)

4(3x^{2}+2)

\newline

(C)

2(6x^{2}+4)

\newline

(D)

4(3x+2)

Identify GCF: First, identify the greatest common factor (GCF) of the terms in the expression $12x^2 + 8$ . The coefficients $12$ and $8$ have a GCF of $4$ . The variable part only appears in the first term, so it is not part of the GCF.
Divide by GCF: Next, divide each term in the expression by the GCF ( $4$ ) to find what should be inside the parentheses when factoring out the GCF. For the first term, $12x^2$ divided by $4$ is $3x^2$ . For the second term, $8$ divided by $4$ is $2$ .
Write Factored Expression: Write the factored expression by placing the GCF outside the parentheses and the results from the division inside the parentheses. This gives us $4(3x^2 + 2)$ .

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