Question

What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a

Answer 1

The CORRECT answer is B

Explanation:

Answer 2

The like terms are:
`a^(2)b,\ ab,\ \teaxt{and}\ a`

Explanation:

The expression is:

`-a^(2)b+6ab-8+5a^(2)b-6a-b-a^(2)b-6a-a^(2)b+5a^(2)b+6ab+5a^(2)b+6ab-6a`

Collect the like terms as follows:

`-a^(2)b+6ab-8+5a^(2)b-6a-b-a^(2)b-6a-a^(2)b+5a^(2)b+6ab+5a^(2)b+6ab-6a`

`=(-a^(2)b+5a^(2)b-a^(2)b-a^(2)b+5a^(2)b+5a^(2)b)+(6ab+6ab+6ab)-(6a-6a-6a)-b-8`

`=12a^(2)b+18ab+18a-b-8`

Thus, the final expression is
`12a^(2)b+18ab+18a-b-8`

The like terms are:
`a^(2)b,\ ab,\ \teaxt{and}\ a`.