Question

Tasha believes that she can rewrite the difference 96 − 36 as a product of the GCF of the two numbers and another difference. Is she correct? Complete the explanation.

Answer 1

She is Correct.

The GCF of 96 and 36 is 12.

So 96 - 36 can be written as 12 x 8 -6 x 6

which is 12 x ( 8 - 3) or 12 x 5= 60

Explanation:

The GCF is the biggest common factor the numbers are comprised of in which case here is 12. The numbers are broken down into multiplication pairs,12×8=96 and -6×6=-36.

In the next row, it is broken down into The distribution property by the gf to be solved as a normal equation by PEMDAS to get 60.

Hope this Helps!! ... It helped a bit looking online for the same case scenarios but just with different numbers.