$4x^4y-8x^3y-32x^2y$
$\left(x-2\right)\left(2x-3\right)=x.\left(2x-3\right)-6.\left(2x-3\right)$
$\left(x+2\right)\left(x^2-2x+4\right)$
$x^2+7x+4$
$\left(x^4\:-\:16\right)\left(x^4\:+\:16\right)$
$\frac{x^2+x-6}{x^2-6x+8}$
$\left(\frac{1}{\cos\left(x\right)}\right)-\cos\left(x\right)\cdot\sin\left(x\right)^{-1}$
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