Question

Use the greatest common factor and the distributive property to write equivalent expressions in factored form.

13ab + 15ab =

Answer 1

Given:

The expression is

`13ab+15ab`

To find:

The equivalent expressions in factored form.

Solution:

We have,

`13ab+15ab`

In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.

Distributive property of multiplication over addition:

`a(b+c)=ab+ac`

By using greatest common factor and the distributive property, we get

`13ab+15ab=ab(13+15)`

`13ab+15ab=ab(28)`

`13ab+15ab=28ab`

Therefore, the required equivalent expression is
`28ab`.