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Write the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2 in simplest form. Then, answer the following questions using complete sentences. A)How many terms are in the simplified expression? B) How many of the terms in the simplified expression are negative?

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Simplify the following:

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

Grouping like terms, -3 x^2 + 2 y^2 + 5 x y - 2 y + 5 x^2 - 3 y^2 = (2 y^2 - 3 y^2) + 5 x y - 2 y + (5 x^2 - 3 x^2):

(2 y^2 - 3 y^2) + 5 x y - 2 y + (5 x^2 - 3 x^2)

2 y^2 - 3 y^2 = -y^2:

-y^2 + 5 x y - 2 y + (5 x^2 - 3 x^2)

5 x^2 - 3 x^2 = 2 x^2:

Answer: -y^2 + 5 x y - 2 y + 2 x^2

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