ASAP: Tori uses the greatest common factor and the distributive property to rewrite this sum:

24 + 84

What expression does Tori write?

A. 12(2 + 7)

B. 2(24 + 42)

C. 24(1 + 4)

D. 4(6 + 21)

A.12(2+7)

Step-by-step explanation:

Given that, Sum = 24 + 84

That is, Sum = 108

Greatest common factor of 24 and 84 is needed  to solve the problem

Factors of 24 are 2,12,3,8,4,6,1,24

Factors of 84 are 2,42,3,28,4,21,6,14,7,12,1,84

Common factors 24 and 84 are 1,2,3,4,6,12

Hence, greatest common factor of 24 and 84 is 12

24/12 = 2

84/12 = 7

Using the distributive property and Greatest common factor, the sum can be written as,

Sum = (12×2)+(12×7)

=12(2+7)

=12×9=108