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Question

Which terms could have a greatest common factor of 5m2n2 check all that apply.


A

m5n5

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B

5m4n3

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C

10m4n

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D

15m2n2

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E

24m3n4

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Solution

The correct option is D

15m2n2


Step 1: Explanation for correct option:

Factor the monomial 5m4n3.

5m4n3=5m2n2m2n

The greatest common factor is 5m2n2.

So option (B) is correct.

Factor the monomial 15m2n2.

15m2n2=5m2n23.

The greatest common factor is 5m2n2.

So option (D) is correct.

Step 2: Explanation for incorrect option.

Factor the monomial m5n5.

m5n5=1m5n5

The greatest common factor is not a 5m2n2.

So option (A) is not correct.

Factor the monomial 10m4n.

10m4n=10m2nm2

The greatest common factor is not a 5m2n2.

So option (C) is not correct.

Factor the monomial 24m3n4.

24m3n4=24m2n2mn2

The greatest common factor is not a 5m2n2.

So option (E) is not correct.

Hence, the correct options are (B)and(D).


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