Problem

Simplify the rational expression: \(\frac{9x^2 - 16}{3x + 4}\)

Answer

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Answer

The rational expression simplifies to \(3x-4\)

Steps

Step 1 ：First, factorize the numerator to get \(\frac{(3x-4)(3x+4)}{3x+4}\)

Step 2 ：Then, cancel out the common factors in the numerator and the denominator. The common factor here is \((3x+4)\)

Step 3 ：The rational expression simplifies to \(3x-4\)

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