Question

Quiz: The Distributive Property Tyquan uses the greatest common factor and the distributive property to rewrite this sum: 75 + 60 What expression does Tyquan write? 3(25 + 20) 25(3 + 60) 5(15 + 12) 15(5 + 4)

Answer 1

75 + 60

GCF is 15

(15 * 5) + (15 * 4) = 15(5 + 4)

Answer 2

The correct option is D 15(5 + 4).

Explanation:

Consider the provided expression.

75 + 60

We have two number 75 and 60.

It is given that Tyquan uses the greatest common factor and the distributive property.

First find the greatest common factor of 75 and 60.

75 = 3×5×5

60 = 2×2×3×5

The greatest common factor is 3×5=15.

Distributive property:

a(b+c)=ab+ac

We can rewrite the expression with the help of GCF and distributive property as shown:

75 + 60

15 (5 + 4)

Hence, the correct option is D 15(5 + 4).