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

You factor the numerators of the two fractions and simplify like terms.

Your expression looks like this

You can factor the numerator of the first fraction by using the formula for the difference of two squares

In your case, you have

The numerator of the second fraction can be factored by using

Plug these into your original expression and simplify like terms present in the numerator and denominator

This will be equivalent to

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To simplify the expression (x^2-y^2)/x * (x^2+xy)/(x+y), we can cancel out common factors in the numerator and denominator.

First, let's factor the numerator and denominator separately:

Numerator: (x^2 - y^2) = (x + y)(x - y) Denominator: x

Now, let's factor the second part of the expression:

(x^2 + xy) = x(x + y)

Now, we can rewrite the expression:

[(x + y)(x - y)]/x * [x(x + y)]/(x + y)

Next, we can cancel out the common factors:

[(x + y)(x - y)]/x * [x(x + y)]/(x + y) = (x - y) * x = x(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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