# How do you simplify #((4x+16)/(x / (x+4)))#?

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To simplify ((4x+16)/(x / (x+4))), you can start by multiplying the numerator and denominator by the reciprocal of the denominator. This gives you ((4x+16) * ((x+4)/x)). Next, you can distribute the numerator, resulting in ((4x^2 + 16x + 16x + 64)/x). Combining like terms in the numerator gives you ((4x^2 + 32x + 64)/x). Finally, you can simplify further by factoring out a common factor of 4 from the numerator, resulting in (4(x^2 + 8x + 16)/x).

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