$\left(y+x^2y\right)dy=\left(3x+xy^2\right)dx$
$\left(\cos x-1\right)\left(\cos x+1\right)=\sin^2x$
$\int\left(5x^2+4\right)^3dx$
$\int\frac{1}{z\sqrt{9-x^2}}dx$
$2ac+3bd+2bc+3ad$
$4x-3y\cdot2y+5x$
$\frac{5x+4x^2}{12x-3x^3}$
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