# How do you simplify #(1 - 2/a)/(4/(a^2 - 1))#?

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To simplify the expression (1 - 2/a)/(4/(a^2 - 1)), you can start by multiplying the numerator and denominator by the reciprocal of the denominator. This will help eliminate the complex fraction.

First, find the reciprocal of the denominator, which is (a^2 - 1)/4.

Next, multiply the numerator (1 - 2/a) by the reciprocal of the denominator (a^2 - 1)/4.

This gives you (1 - 2/a) * (a^2 - 1)/4.

Now, simplify the expression by distributing and canceling out common factors.

(1 - 2/a) * (a^2 - 1)/4 = (a^2 - 1 - 2(a^2 - 1)/a)/4

Simplify further by combining like terms:

(a^2 - 1 - 2(a^2 - 1)/a)/4 = (a^2 - 1 - 2a^2 + 2)/4

Combine like terms again:

(a^2 - 1 - 2a^2 + 2)/4 = (-a^2 + 1)/4

Therefore, the simplified expression is (-a^2 + 1)/4.

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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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