Factor 48-8x to identify the equivalent expressions. Choose 2 answers: A 3(16-8x) B) 2(24-4x) c] 8(6-x) D 4(12-4x)

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 48-8x. The GCF of 48 and 8x is 8.Factor out GCF: Factor out the GCF from the expression. This means we divide each term by 8 and place the 8 outside of the parentheses. So, 48 divided by 8 is 6, and -8x divided by 8 is -x.Write factored expression: Write the factored expression as 8(6-x).Check answer choices: Check the answer choices to see which ones are equivalent to 8(6-x). A) 3(16-8x) is not equivalent because 3 times 16 is 48 but 3 times -8x is -24x, not -8x. B) 2(24-4x) is not equivalent because 2 times 24 is 48 but 2 times -4x is -8x, which is correct. C) 8(6-x) is equivalent because it is the expression we derived. D) 4(12-4x) is not equivalent because 4 times 12 is 48 but 4 times -4x is -16x, not -8x.Conclude equivalent expressions: Conclude that the equivalent expressions for factoring 48-8x are B) 2(24-4x) and C) 8(6-x).

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Factor $48-8x$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A) $3(16-8x)$ $\newline$ B) $2(24-4x)$ $\newline$ C) $8(6-x)$ $\newline$ D) $4(12-2x)$

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Q. Factor

48-8x

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

3(16-8x)

\newline

2(24-4x)

\newline

8(6-x)

\newline

4(12-2x)

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $48-8x$ . The GCF of $48$ and $8x$ is $8$ .
Factor out GCF: Factor out the GCF from the expression. This means we divide each term by $8$ and place the $8$ outside of the parentheses. $\newline$ So, $48$ divided by $8$ is $6$ , and $-8x$ divided by $8$ is $-x$ .
Write factored expression: Write the factored expression as $8(6-x)$ .
Check answer choices: Check the answer choices to see which ones are equivalent to $8(6-x)$ .
A) $3(16-8x)$ is not equivalent because $3 \times 16$ is $48$ but $3 \times -8x$ is $-24x$ , not $-8x$ .
B) $2(24-4x)$ is not equivalent because $2 \times 24$ is $48$ but $3(16-8x)$ $0$ is $-8x$ , which is correct.
C) $8(6-x)$ is equivalent because it is the expression we derived.
D) $3(16-8x)$ $3$ is not equivalent because $3(16-8x)$ $4$ is $48$ but $3(16-8x)$ $6$ is $3(16-8x)$ $7$ , not $-8x$ .
Conclude equivalent expressions: Conclude that the equivalent expressions for factoring $48-8x$ are B) $2(24-4x)$ and C) $8(6-x)$ .