Question

Please help! (´･_･`)

Answer 1

Answers: Choice A, Choice C

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Reason:

The distributive rule can be used in reverse to help factor.

One way to do this is to say the following steps

60 - 36w

6*10 - 6*6w

6(10-6w)

Which leads to choice A. To confirm, we can distribute the outer 6 into each term inside the parenthesis.

Similarly, choice C works because...

60 - 36w

12*5 - 12*3w

12(5 - 3w)

It can be confirmed by working the steps backwards.

There are many ways to factor this because we have multiple ways to factor 60 and to factor 36, such that we pull out a common factor each time.

Something like choice B doesn't work because 4(15-8w) = 60-32w. Close but not quite there.

Choice D doesn't work either since 3(20+12w) = 60+36w

Answer 2

6(10-6w) is the correct answer