Question

Tasha belives that she can rewrite the diffrence 120- 36 as a product of the GCF of the two numbers and another diffrence.Is she correct? Explain your awnser.

Answer 1

tasha is correct because

We can write the GCF for each number as

120=2x2x2x3x5

36=2x2x3x3

GCF= 2x2x3=12

we then can write out 120-36 is (12 x 10) - (12 x 3) - 12(10-3)

Answer 2

Tasha is correct. This is what the distributive property is all about.

120 -36 = 12·10 -12·3 = 12·(10 -3)