The expression $(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$ is equivalent to which of the following expression?

4 x^{2} y^{2}

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8 x y^{2} - 6 y^{2}

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2 x^{2} y + 2 x y^{2}

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2 x^{2} y + 8 x y^{2} - 6 y^{2}

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Solution

The correct option is A $2 x^{2} y + 2 x y^{2}$
We have,
$(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$

$= x^{2} y - 3 y^{2} + 5 x y^{2} + x^{2} y - 3 x y^{2} + 3 y^{2}$

$= 2 x^{2} y + 2 x y^{2}$

Therefore, option C is correct.

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Similar questions

5 x^{2} y - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2}

3 x^{2} - 4 y^{2} + 5 x y + 20

- x^{2} - y^{2} + 6 x y + 20

5 x^{2} - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2}

3 x^{3} - 8 x y^{2} + y^{3} + 21 = 0, x^{2} (y - x) = 1

8 x y^{2}

2 x y^{2}

4 x y + 2

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