$1-\cos a=\sqrt{3}\sin a$
$\int\left(5x-2\right)e^{3x}\:\:dx$
$y-3xy+3y^2+y$
$100n^2-80n+16$
$12x^2-80x+100$
$\frac{x^3-2x^2+5}{x^2-1}$
$\left(2a+3b\right)\left(3a-2b\right)$
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