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

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#(x^4-y^4)/((x^4+2x^2y^2+y^4)(x^2-2xy+y^2))=(x+y)/((x^2+y^2)(x-y))#

Note that we do not have to specify any exclusions as the values we have cancelled out from the numerator and denominator exist in the denominator of the simplified expression.

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To simplify the expression (x^4-y^4) /( (x^4+2x^2y^2+y^4)(x^2-2xy+y^2)), we can factor the numerator and denominator. The numerator can be factored as (x^2+y^2)(x^2-y^2), which further simplifies to (x^2+y^2)(x+y)(x-y). The denominator can be factored as (x^2+y^2)(x-y)^2.

By canceling out the common factors of (x^2+y^2) and (x-y), the expression simplifies to (x+y)/(x-y)^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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