Question

Use the GCF and the distributive property to express the sum as a product 35+25

Answer 1

5(5+7) = 5(5) + 5(7)

Explanation:

Given the expression 25+35.

Given A, B and C, according to distributive property:

A(B+C) = AB + BC

A is distributed over B and C where A is the GCF in this case. Applying this in the expression given

25 = 5 * 5

35 = 5* 7

25+35 = (5*5)+(5*7)

25+35 = 5(5+7)

5(5+7) = 5(5) + 5(7) (Distributive property)