Factor
-\frac{1}{72}\left(x-\frac{79-3\sqrt{697}}{2}\right)\left(x-\frac{3\sqrt{697}+79}{2}\right)\left(x+1\right)^{7}
Evaluate
x\left(x+1\right)^{7}-\frac{\left(x+1\right)^{9}}{72}+\frac{\left(x+1\right)^{8}}{8}
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\frac{72\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\left(1+x\right)^{8}}{8})-\left(1+x\right)^{9}}{72}
Factor out \frac{1}{72}.
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