Simplify the expression (x^2*y - 3y^2 + 5x*y^2) - (-x^2*y + 3x*y^2 - 3y^2). Which is equivalent?
A4x^2*y^2
B8x*y^2 - 6y^2
C2x^2*y + 2x*y^2
D2x^2*y + 8x*y^2 - 6y^2
Answer & Solution
Correct answer: C. 2x^2*y + 2x*y^2
Distribute the minus sign: x^2*y - 3y^2 + 5x*y^2 + x^2*y - 3x*y^2 + 3y^2. Combine: (x^2*y + x^2*y) + (5x*y^2 - 3x*y^2) + (-3y^2 + 3y^2) = 2x^2*y + 2x*y^2.
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