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\frac{x}{8}-1
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\frac{\left(x^{2}-64\right)\left(x^{2}+3x-40\right)}{\left(8x-40\right)\left(x^{2}+16x+64\right)}
Divide \frac{x^{2}-64}{8x-40} by \frac{x^{2}+16x+64}{x^{2}+3x-40} by multiplying \frac{x^{2}-64}{8x-40} by the reciprocal of \frac{x^{2}+16x+64}{x^{2}+3x-40}.
\frac{\left(x-8\right)\left(x-5\right)\left(x+8\right)^{2}}{8\left(x-5\right)\left(x+8\right)^{2}}
Factor the expressions that are not already factored.
\frac{x-8}{8}
Cancel out \left(x-5\right)\left(x+8\right)^{2} in both numerator and denominator.
\frac{\left(x^{2}-64\right)\left(x^{2}+3x-40\right)}{\left(8x-40\right)\left(x^{2}+16x+64\right)}
Divide \frac{x^{2}-64}{8x-40} by \frac{x^{2}+16x+64}{x^{2}+3x-40} by multiplying \frac{x^{2}-64}{8x-40} by the reciprocal of \frac{x^{2}+16x+64}{x^{2}+3x-40}.
\frac{\left(x-8\right)\left(x-5\right)\left(x+8\right)^{2}}{8\left(x-5\right)\left(x+8\right)^{2}}
Factor the expressions that are not already factored.
\frac{x-8}{8}
Cancel out \left(x-5\right)\left(x+8\right)^{2} in both numerator and denominator.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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