Question

Simplify: 1x + y - 1x - y + 2xxy - y^2

a) 1x + y - 1x - y + 2xxy - y^2
b) 1 - y^2
c) 2x - y^2
d) x + 2xxy - 2y^2

Answer 1

The simplified form of the expression 1x + y - 1x - y + 2xxy - y^2 is 2xy^2 - y^2 after canceling out opposing terms and simplifying 2xxy to 2xy^2.

Step-by-step explanation:

To simplify the expression 1x + y - 1x - y + 2xxy - y^2, we need to combine like terms. The terms 1x and -1x cancel each other out because they are opposite numbers. Similarly, the terms y and -y also cancel each other out.

This leaves us with the terms 2xxy and -y^2. However, since the variable x appears twice in the term 2xxy, it simplifies to 2xy^2. Therefore, after simplifying, the expression becomes 2xy^2 - y^2.