True or False? For any integer m, 6m (2m + 10) is divisible by 4. Explain

Question

Mathematics

Kaelyn Mcintosh

9 July, 14:23

True or False? For any integer m, 6m (2m + 10) is divisible by 4. Explain

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Answers (2)

Know the Answer?

Dorito · Answer 1

True

Step-by-step explanation:

6m (2m + 10)

= (6m) (2m) + (6m) (10)

= 12m² + 60m

= 4 (3m² + 15m)

Because we factored out a "4" in the expression, by observation, we can see that regardless of what value of integer m is chosen, the entire expression is divisible by the "4" which has been factored out of the parentheses. Hence it is True.

Harper · Answer 2

Yes it is!

Step-by-step explanation:

6m (2m+10) / 4

= 2 (3m) (2) (m+5) / 4

= 4 (3m) (m+5) / 4

= (3m) (m+5)