$\lim_{x\to\infty}\left(x-\sqrt{x^2+2x+1}\right)$

$\int_{y^2}^{2y}1dx$

$\frac{\left(\sin\left(x\right)-\cos\left(x\right)\right)\left(\sin\left(x\right)+\cos\left(x\right)\right)+\cos^2\left(x\right)}{\sin\left(x\right)}$

$-6\cdot51$

$x^3\sqrt[4]{32x^5y^3}$

$\left(3x^2-2yx\right)^4$

$\log\left(-2a+9\right)=\log\left(7-4a\right)$