Question

Simplify the polynomial expression (xy -2)(x2+1). (2 points)
Simplify the polynomial expression (xy -2)(x2+1). (2 points)
3
x
2
xy+
-2

Answer 1

Multiply each term:
(xy - 2)(x^2 + 1) = xy·x^2 + xy·1 − 2·x^2 − 2·1
= x^3y + xy − 2x^2 − 2.

So the simplified form is x^3y − 2x^2 + xy − 2.