Question

Katrina is asked to simplify the expression .

-3a-4b-2(5a-7b)
She writes:
-3a-4b-2(5a-7b)=-3a-4b-10a+14b
which property allows her to do this?

Answer 1

the property of distribution

Answer 2

Distribution property of Multiplication allows katrina to do this.

Explanation:

The given expression is

`-3a-4b-2(5a-7b)`

Katrina simplify the above expression as

`-3a-4b-2(5a)-2(-7b)`

`-3a-4b-10a+14b`

She use the property

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

This property is known as Distribution property of Multiplication.

Therefore Distribution property of Multiplication allows katrina to do this.