# How do you simplify #[(x-a)+(2a^2)/(x+a)] * [((1/x^2)-(1/a^2))] div[((x^3)-((ax^3+a^4)/(x+a)))]#?

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To simplify the expression [(x-a)+(2a^2)/(x+a)] * [((1/x^2)-(1/a^2))] div[((x^3)-((ax^3+a^4)/(x+a)))], we can follow these steps:

Step 1: Simplify each term within the brackets separately.

- Simplify (x-a) + (2a^2)/(x+a) to (x-a) + (2a^2)/(x+a).
- Simplify (1/x^2) - (1/a^2) to (a^2 - x^2)/(x^2 * a^2).
- Simplify (x^3 - (ax^3 + a^4)/(x+a)) to (x^3 - (ax^3 + a^4)/(x+a)).

Step 2: Combine the terms within the brackets using the distributive property.

- Multiply (x-a) + (2a^2)/(x+a) by (a^2 - x^2)/(x^2 * a^2).
- Divide the result by (x^3 - (ax^3 + a^4)/(x+a)).

Step 3: Simplify the resulting expression further if possible.

Please note that without specific values for the variables, it is not possible to provide a numerical answer.

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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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