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Factor 30-6v-18w30−6v−18w30, minus, 6, v, minus, 18, w to identify the equivalent expressions.

Choose 2 answers:A

2(15-12v)2(15−12v)2, left parenthesis, 15, minus, 12, v, right parenthesis


(Choice B)

B

3(10-3v+6w)3(10−3v+6w)3, left parenthesis, 10, minus, 3, v, plus, 6, w, right parenthesis


(Choice C)

C

6(5-v-3w)6(5−v−3w)6, left parenthesis, 5, minus, v, minus, 3, w, right parenthesis


(Choice D)

D

2(15-3v-9w)2(15−3v−9w)2, left parenthesis, 15, minus, 3, v, minus, 9, w, right parenthesis

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Answer:

Option C.

Step-by-step explanation:

The given expression is

[tex]30-6v-18w[/tex]

We need to find the expression which is equivalent to the given expression.

The given expression can be rewritten as

[tex]6\times 5-6\times v-6\times 3w[/tex]

The greatest common factor (G.C.F.) is 6. Taking out G.C.F., we get

[tex]30-6v-18w=6(5-v-3w)[/tex]

Hence, the correct option is C.

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