Question

Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form

A how many terms are in the simplified expression?

B how many terms in the simplified expression negative

Answer 1

The answers are:

A) There are four terms, which are
`x^2, y^2, xy, y`

B)
`-y^2, -y`

Explanation:

In order to respond the questions, we have to change the expression to its simplest form, that is, adding the same terms.

`-3x^2+2y^2+5xy-2y+5x^2-3y^2\\(-3x^2+5x^2)+(2y^2-3y^2)+5xy-2y\\2x^2-y^2+5xy-2y`

So we have four terms, which are:
`x^2, y^2, xy, y`

The negative terms are
`-y^2, -y`

The procedure is always the same. First, we have to determine the terms and then we have to add coefficients of the same terms in order to simplify the expression.

Answer 2

-3x² + 2y² + 5xy - 2y + 5x² - 3y²

Add your like terms.

(-3x² + 5x²) + (2y² - 3y²) + 5xy - 2y

Simplify.

2x² + 5xy - y² - 2y

~Hope I helped!~