Question

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

Answer 1

Answer:

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.

Answer 2

Answer:

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)