Question

Identify the properties used for the first two steps in simplifying 6ab2 + 4a2b – 3ab2 + 3a2b – 2a2b2.

Answer 1

The expression
`6ab^2+4a^2b-3ab^2+3a^2b-2a^2b^2` has two similar pairs of conjunctions.

1. Rewrite this expression as

`6ab^2+4a^2b-3ab^2+3a^2b-2a^2b^2=`

`=(6ab^2-3ab^2)+(4a^2b+3a^2b)-2a^2b^2`
and then
2. add the similar conjunctions


`(6ab^2-3ab^2)+(4a^2b+3a^2b)-2a^2b^2=3ab^2+7a^2b-2a^2b^2`.

Answer 2

commutative property of addition

distributive property

Explanation:

Identify the properties used for the first two steps in simplifying 6ab2 + 4a2b – 3ab2 + 3a2b – 2a2b2.

6ab2+4a2b-3ab2+3a2b-2a2b2 = 4a2b+3a2b-3ab2+6ab2-2a2b2 -commutative property of addition

= (4+3)a2b+(-3+6)ab2-2a2b2

= 7a2b+3ab2-2a2b2 -distributive property