$\left(-1\right)^{n+1}\left(\frac{\left(4x\right)^n}{n}\right)$

$\cos\left(x-45\right)=-1$

$4x^2-23x+33=2x+8$

$9=5x^3-3y^3$

$\tan\left(x\right)\:\cot\left(x\right)\:-\:\sin^2\left(x\right)=\cos^2\left(x\right)$

$\lim_{n\to\infty}\left(\ln\left(x+1\right)\right)$

$3ab+4a^2b+6ab^2+4a^2b+7ba^2+12ab^2$