# How do you simplify #8/(x^2-4) – 3/(x-2)#?

then we just finish the equation

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To simplify the expression 8/(x^2-4) - 3/(x-2), we need to find a common denominator and combine the fractions. The common denominator is (x-2)(x+2).

Multiplying the first fraction by (x+2)/(x+2) and the second fraction by (x+2)/(x+2), we get:

8(x+2)/[(x-2)(x+2)] - 3(x+2)/[(x-2)(x+2)]

Simplifying the numerators, we have:

(8x + 16 - 3x - 6)/[(x-2)(x+2)]

Combining like terms in the numerator, we get:

(5x + 10)/[(x-2)(x+2)]

Therefore, the simplified expression is 5x + 10 divided by (x-2)(x+2).

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