$\left(5x^3a^n+4x^4a^n\right)^2$
$\frac{x^2+6x+9}{x-3}$
$\int\frac{x-3}{\left(x+4\right)^3}dx$
$\frac{1}{25}+\frac{25x^2}{36}-\frac{x^2}{6}$
$27y^3+54y^2+12y+36y$
$\int\:\:3x\left(4x+5\right)^2dx$
$\cos x-\cos^2x=\cos x\sin^2x$
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