Question

Write the expression -3x ^2 + 2y ^2 + 5xy - 2y + 5x ^2 - 3y ^2 in simplest form. 

How many terms are in the simplified expression?
How many of the terms in the simplified expression are negative?

Answer 1

`-3x^2+2y^2+5xy-2y+5x^2-3y^2`

Combine like terms:

`2x^2-y^2+5xy-2y\\2x^2-y^2-2y+5xy`

There are 4 terms, 2 terms are negative.