$sin^2x+cos2x=-cos^2x$

$\left(4xy\right)\cdot\left(5xy\right)$

$a^33a^2+3a+1$

$\int\left(4-2m^2\right)^7mdm$

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

$4\log\left(b\right)-\log\left(\frac{b}{a}\right)-\log\left(a\cdot b^4\right)+\log\left(\frac{a^3}{b^2}\right)$

$\left(9.7\:times\:10^4\right)-\left(5.3\:times\:10^4\right)$