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Factor
24 m-12 p+72 to identify the equivalent expressions.
Choose 2 answers:
A
6(4m+2p+12)
B
2(12 m-6p+36)
c
12(2m-p+6)
D
24(m-12 p+3)

Factor $24 m-12 p+72$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $6(4 m+2 p+12)$ $\newline$ B $2(12 m-6 p+36)$ $\newline$ c $12(2 m-p+6)$ $\newline$ D $24(m-12 p+3)$

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Add and subtract numbers written in scientific notation

Full solution

Q. Factor

24 m-12 p+72

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

A

6(4 m+2 p+12)

\newline

B

2(12 m-6 p+36)

\newline

c

12(2 m-p+6)

\newline

D

24(m-12 p+3)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms $24m$ , $-12p$ , and $72$ . $\newline$ The GCF of $24$ , $-12$ , and $72$ is $12$ .
Factor out GCF from each term: Factor out the GCF from each term. $12(2m) - 12(p) + 12(6) = 12(2m - p + 6)$
Check answer choices: Check each answer choice to see if it matches the factored expression from Step $2$ . $\newline$ A) $6(4m + 2p + 12)$ does not match because when distributed, it gives $24m + 12p + 72$ , which has a different sign for the $p$ term. $\newline$ B) $2(12m - 6p + 36)$ does not match because when distributed, it gives $24m - 12p + 72$ , which is the original expression but not factored by the GCF. $\newline$ C) $12(2m - p + 6)$ matches the factored expression from Step $2$ . $\newline$ D) $24(m - 12p + 3)$ does not match because when distributed, it gives $24m - 288p + 72$ , which is not the original expression.

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