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\frac{\left(4x+7\right)\left(4x^{2}+13x-35\right)}{16x^{2}-49}
Divide 4x+7 by \frac{16x^{2}-49}{4x^{2}+13x-35} by multiplying 4x+7 by the reciprocal of \frac{16x^{2}-49}{4x^{2}+13x-35}.
\frac{\left(4x-7\right)\left(x+5\right)\left(4x+7\right)}{\left(4x-7\right)\left(4x+7\right)}
Factor the expressions that are not already factored.
x+5
Cancel out \left(4x-7\right)\left(4x+7\right) in both numerator and denominator.
\frac{\left(4x+7\right)\left(4x^{2}+13x-35\right)}{16x^{2}-49}
Divide 4x+7 by \frac{16x^{2}-49}{4x^{2}+13x-35} by multiplying 4x+7 by the reciprocal of \frac{16x^{2}-49}{4x^{2}+13x-35}.
\frac{\left(4x-7\right)\left(x+5\right)\left(4x+7\right)}{\left(4x-7\right)\left(4x+7\right)}
Factor the expressions that are not already factored.
x+5
Cancel out \left(4x-7\right)\left(4x+7\right) in both numerator and denominator.