$\:1+2cos2x=\:3cos2x\:-sin2x\:$
$2cos^2x-6sin^2x$
$36m^2n^2-361$
$\frac{dy}{dx}=4x^3y^2+4x^3-y^2-1,\:y\left(0\right)=1$
$\int x^2\cdot e^2\cdot\cos\left(x\right)dx$
$x^2-4x-7=0$
$\frac{4x^3+20x^2+9x-28}{x+4}$
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