Simplify the expression $h\left(x\right)=\frac{x^3-2x^2-5x+6}{x+1}$

$\frac{x^3+x+5}{x+1}$

$\left(\frac{4}{3} x^2 y^3\right)^3\left(\frac{3}{16x^5}\right)^2$

$\left(\frac{x^{\left(-1\right)\cdot\frac{1}{2}}}{x^{\frac{3}{2}}}\right)^{\frac{2}{5}}$

$\frac{x^2+2x+1}{x^2+1}$

$\frac{12x^3+13x^2-59x+30}{4x-5}$

$\sqrt{\frac{x^3-y^3}{x+y}\cdot\frac{x^2+2x\cdot y+y^2}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$

$\log_{5}\left(5^2\right) x^8$