Answer :
The expression [tex]6ab^2+4a^2b-3ab^2+3a^2b-2a^2b^2[/tex] has two similar pairs of conjunctions.
1. Rewrite this expression as
[tex]6ab^2+4a^2b-3ab^2+3a^2b-2a^2b^2=[/tex]
[tex]=(6ab^2-3ab^2)+(4a^2b+3a^2b)-2a^2b^2[/tex]
and then
2. add the similar conjunctions
[tex](6ab^2-3ab^2)+(4a^2b+3a^2b)-2a^2b^2=3ab^2+7a^2b-2a^2b^2[/tex].
1. Rewrite this expression as
[tex]6ab^2+4a^2b-3ab^2+3a^2b-2a^2b^2=[/tex]
[tex]=(6ab^2-3ab^2)+(4a^2b+3a^2b)-2a^2b^2[/tex]
and then
2. add the similar conjunctions
[tex](6ab^2-3ab^2)+(4a^2b+3a^2b)-2a^2b^2=3ab^2+7a^2b-2a^2b^2[/tex].
Answer:
commutative property of addition
distributive property
Step-by-step 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