# How do you combine #(5x^2 - 3x^2y + 2y^2x - y) - (2xy^2 - y - 5x^2 + 3yx^2)#?

Combine:

Remove the second set of parentheses and change the signs of the terms.

Remove the first set of parentheses.

Combine like terms.

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To combine the given expressions:

[ (5x^2 - 3x^2y + 2y^2x - y) - (2xy^2 - y - 5x^2 + 3yx^2) ]

First, distribute the negative sign inside the parentheses of the second expression:

[ (5x^2 - 3x^2y + 2y^2x - y) - 2xy^2 + y + 5x^2 - 3yx^2 ]

Next, combine like terms:

[ (5x^2 - 5x^2) + (2y^2x - 3yx^2) + (- 3x^2y + 2y^2x) + (- y + y) ]

[ 0 + (- xy^2) + (- xy^2) + 0 ]

[ - 2xy^2 - 2xy^2 ]

[ -4xy^2 ]

So, the combined expression is ( -4xy^2 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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