$f\left(x\right)=\left(x+2\right)^2\sqrt{x^2+2}$

$4cos^2x-3sin^2x$

$\frac{5x-16}{6}=\frac{x+1}{3}-\frac{x+8}{12}$

$\sin\left(3a\right).\csc\left(a\right)-\csc\left(3a\right).\sec\left(a\right)$

$40x^2+25x+16$

$n^2-r^2$

$\lim_{x\to4}\frac{1-\sqrt{2x-3}}{1-\sqrt[3]{x-1}}$