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# $$(x^2y - 3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2)$$Which of the following is eq...

### Question

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

Which of the following is equivalent to the expression above?

### Options

A)
$$4x^2y^2$$
B)
$$8xy^2 - 6y^2$$
C)
$$2x^2y + 2xy^2$$
D)
$$2x^2y + 8xy^2 - 6y^2$$

### Explanation:

Choice C is correct. Only like terms, with the same variables and exponents, can be combined to determine the answer as shown here:
$$(x^2y - 3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2)$$
$$= (x^2y - (-x^2y)) + (-3y^2 - (-3y^2)) + (5xy^2 - 3xy^2)$$
$$= 2x^2y + 0 + 2xy^2$$
$$= 2x^2y + 2xy^2$$
Choices A, B, and D are incorrect and are the result of common calculation errors or of incorrectly combining like and unlike terms.