$45+\left|12-2\left(3\right)\right|-8^2+\left(5\right)^2$

$ac-bd+3ac-4bd$

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

$\sec\left(x\right)^2+\cos\left(x\right)^2=\tan^2\left(x\right)$

$\left(x-10\right)\:\left(x+8\right)$

$\left(3-\log\left(x\right)\right)\left(2+\log\left(x\right)\right)=0$

$\left(5a-7b\right)\left(a+3b\right)$