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Factor
30-6v-18 w to identify the equivalent expressions.
Choose 2 answers:
A
2(15-12 v)
B
3(10-3v+6w)
c
6(5-v-3w)
D
2(15-3v-9w)

Factor $30-6 v-18 w$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $2(15-12 v)$ $\newline$ B $3(10-3 v+6 w)$ $\newline$ c $6(5-v-3 w)$ $\newline$ D $2(15-3 v-9 w)$

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Add and subtract numbers written in scientific notation

Full solution

Q. Factor

30-6 v-18 w

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

A

2(15-12 v)

\newline

B

3(10-3 v+6 w)

\newline

c

6(5-v-3 w)

\newline

D

2(15-3 v-9 w)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression $30 - 6v - 18w$ . $\newline$ The GCF of $30$ , $-6v$ , and $-18w$ is $6$ .
Factor out GCF from each term: Factor out the GCF from each term in the expression. $\newline$ $30 - 6v - 18w = 6(5) - 6(v) - 6(3w) = 6(5 - v - 3w)$
Check factored expression: Check the factored expression against the given choices. $\newline$ The factored expression is $6(5 - v - 3w)$ , which matches choice C.
Verify other equivalent expressions: Verify if there is another equivalent expression among the choices. $\newline$ None of the other choices, $A$ , $B$ , or $D$ , match the factored expression $6(5 - v - 3w)$ when simplified.

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