a: \(=\dfrac{2x+5-x+2}{\left(x-2\right)\left(2x+5\right)}\cdot\dfrac{\left(x-2\right)\cdot x}{x+7}=\dfrac{x}{2x+5}\)
b: \(=\dfrac{3x+1-x+3}{\left(x-3\right)\left(3x+1\right)}\cdot\dfrac{\left(x-3\right)^2}{2\left(2x-1\right)}=\dfrac{2\left(x+2\right)\left(x-3\right)}{\left(3x+1\right)\cdot2\cdot\left(2x-1\right)}=\dfrac{\left(x+2\right)\left(x-3\right)}{\left(3x+1\right)\left(2x-1\right)}\)
c; \(=\dfrac{2x+2-x+3}{\left(x-3\right)\left(x+1\right)}\cdot\dfrac{x\left(x+1\right)}{x+5}=\dfrac{x}{x-3}\)
d: \(=\dfrac{3x-6-2x-1}{\left(x-2\right)\left(2x+1\right)}\cdot\dfrac{\left(x-2\right)\left(x+2\right)}{x-7}\)
=(x+2)/(2x+1)
