Question

Which expression uses the distributive property to represent the sum of 39 + 27

Answer 1

Answer:

The expression that uses the distributive property to represent the sum of 39 + 27 is $3(13 + 9)$

Step-by-step explanation:

Given

Expression: 39 + 27

Required

Express using the distributive property

The distributive property is represented in the form a(b + c)

So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)

Equate these two expressions, we have

$a(b+c) = 39 + 27$

Factorize the expression on the left hand side

$a(b+c) = 3(\frac{39}{3} + \frac{27}{3})$

Simplify fraction

$a(b+c) = 3(13 + 9)$

Compare expression on left hand side with the expression on the right hand side.

Since, they have the same format, then we've arrived at the answer.

Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is $3(13 + 9)$