Question

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

Answer 1

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

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

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