$\frac{dy}{dp}=\frac{\left(10-p\right)^2}{4}+\left(p-2\right)\left[\left(1-a\right)\left(10-p\right)+a\left(\frac{10-p}{2}\right)\right]$

$\left|-10\right|-\left(-10\right)-10$

$cos^24x\:-\:sin^24x$

$\int\left(x+1\right)\sqrt{3x-5}dx$

$56\cdot20$

$3^{0.5x}=81$

$\left(x^2+16\right)\left(x-3\right)\left(x+2\right)$