Evaluate
\frac{x^{2}+7x+49}{8x-3}
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\frac{x^{2}+7x+49}{8x-3}
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\frac{\left(40x^{2}+41x-21\right)\left(x^{3}-343\right)}{\left(64x^{2}-48x+9\right)\left(5x^{2}-28x-49\right)}
Divide \frac{40x^{2}+41x-21}{64x^{2}-48x+9} by \frac{5x^{2}-28x-49}{x^{3}-343} by multiplying \frac{40x^{2}+41x-21}{64x^{2}-48x+9} by the reciprocal of \frac{5x^{2}-28x-49}{x^{3}-343}.
\frac{\left(x-7\right)\left(8x-3\right)\left(5x+7\right)\left(x^{2}+7x+49\right)}{\left(x-7\right)\left(5x+7\right)\left(8x-3\right)^{2}}
Factor the expressions that are not already factored.
\frac{x^{2}+7x+49}{8x-3}
Cancel out \left(x-7\right)\left(8x-3\right)\left(5x+7\right) in both numerator and denominator.
\frac{\left(40x^{2}+41x-21\right)\left(x^{3}-343\right)}{\left(64x^{2}-48x+9\right)\left(5x^{2}-28x-49\right)}
Divide \frac{40x^{2}+41x-21}{64x^{2}-48x+9} by \frac{5x^{2}-28x-49}{x^{3}-343} by multiplying \frac{40x^{2}+41x-21}{64x^{2}-48x+9} by the reciprocal of \frac{5x^{2}-28x-49}{x^{3}-343}.
\frac{\left(x-7\right)\left(8x-3\right)\left(5x+7\right)\left(x^{2}+7x+49\right)}{\left(x-7\right)\left(5x+7\right)\left(8x-3\right)^{2}}
Factor the expressions that are not already factored.
\frac{x^{2}+7x+49}{8x-3}
Cancel out \left(x-7\right)\left(8x-3\right)\left(5x+7\right) in both numerator and denominator.
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