Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75

Question

asked Jun 2, 2021 224k views

1 Answer

Aleksei Potov · Answer 1 · 2021-06-06T13:36:53+0000

Answer:

75 + 45
= 15(3 + 5)

Explanation:

Given

75 + 45 -- Corrected

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

45 = 3 * 3 * 5

75 = 3 * 5 * 5

The common factor is:

GCF = 3 * 5

GCF = 15

So,
75 + 45 becomes

75 + 45
= 15 * 3 + 15 * 5

Factorize

75 + 45
= 15(3 + 5)

Hence, the sum has been rewritten as
15(3 + 5)