$2\cot^2\left(x\right)=7\csc\left(x\right)-8$

$5\log\left(y\right)-\log\left(x+1\right)+\log\left(1\right)$

$\left(a^x-3\right)\left(a^x+3\right)$

$\int\frac{72x}{\left(6x^2+1\right)^3}dx$

$\left(2x-1\right)^2-\left(x+3\right)^2$

$\int\sin^2\left(4x\right)\cdot\cos\left(4x\right)dx$

$\left(\frac{1}{5}a+\frac{2}{3}b-\frac{1}{6}c\right)^2$