Question

Combine the terms in the given polynomial then evaluate for x=3, and y=-1

Answer 1

Answer:
`xy^2+3x^2y;\text{ -24}`

Step-by-step explanation:

The given expression is:

`xy+3xy^2-2xy+3x^2y-2xy^2+xy`

Combine like terms

`xy+xy-2xy+3xy^2-2xy^2+3x^2y`

Simplify the resulting expression

`\begin{gathered} 2xy-2xy+3xy^2-2xy^2+3x^2y \\ \\ xy^2+3x^2y \end{gathered}`

Substitute x = 3 and y = -1 into the simplified expression

`\begin{gathered} xy^2+3x^2y \\ \\ 3(-1)^2+3(3)^2(-1) \\ \\ 3(1)+(-27) \\ \\ 3-27 \\ \\ =-24 \end{gathered}`