Question

Combine like terms in the given polynomial. Then evaluate for x=4, y= -2. xy - 2xy + 3x²y - 4xy² +2xy²

Answer 1

Given the polynomial:

$xy-2xy+3x^{2}y-4xy^{2}+2xy^{2}​$

So, combine the like terms :

$\begin{gathered} (xy-2xy)+(3x^2y)+(-4xy^2+2xy^2) \\ \\ =-xy+3x^2y-2xy^2 \end{gathered}$

Now , we will evaluate the expression when x = 4 , y = -2

so,

$\begin{gathered} -(4)\cdot(-2)+3\cdot(4^2)\cdot(-2)-2\cdot(4)\cdot(-2)^2 \\ =8+3\cdot16\cdot(-2)-2\cdot4\cdot4 \\ =8-96-32 \\ =-120 \end{gathered}$

So, the value of the expression is : -120