# How do you simplify #(4x^2+y)/(x+y) + (x^2-y^2)/(x+y)#?

Simplify:

Use difference of squares:

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To simplify the expression (4x^2+y)/(x+y) + (x^2-y^2)/(x+y), we can combine the two fractions by finding a common denominator, which in this case is (x+y). Then, we add the numerators together and keep the common denominator. The simplified expression is (4x^2 + y + x^2 - y^2)/(x + y).

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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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