$sin^3x=\left(1-cos^2x\right)sin\:x$
$\lim_{x\to\infty}\frac{5x+9}{8x^2-3x+11}$
$\left(\frac{1}{3}\right)\left(x-6\right)\ge4-x$
$\frac{35x^{3}y^{8}}{14x^{2}y^{3}}$
$\frac{4x^3-2x^2+5x+5}{x^2-2}$
$\log2\left(x+2\right)=-2$
$\frac{d}{dx}x^2+\:y^2-xy=3\:$
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