c: \(=\dfrac{x^2+2xy+x^2-2xy-4xy}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\dfrac{2x^2-4xy}{\left(x-2y\right)\left(x+2y\right)}=\dfrac{2x}{x+2y}\)
d: \(=\dfrac{3x+2-3x+2+3x-6}{\left(3x-2\right)\left(3x+2\right)}=\dfrac{3x-2}{\left(3x-2\right)\left(3x+2\right)}\)
=1/(3x+2)
e: \(=\dfrac{3\cdot y^2+5\cdot2\cdot x+x\cdot2x^2}{2x^2y^3}=\dfrac{3y^2+10x+2x^3}{2x^2y^3}\)
g: \(=\dfrac{x^2+2x-3+2x^2+2x-x-1+x+5}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{3x^2+4x+1}{\left(x-1\right)\left(x+1\right)}=\dfrac{3x+1}{x-1}\)
h: \(=\dfrac{x+3}{\left(x+2\right)\left(x-1\right)}+\dfrac{4-x}{\left(x+2\right)\left(x+3\right)}\)
\(=\dfrac{x^2+6x+9+\left(4-x\right)\left(x-1\right)}{\left(x-1\right)\left(x+2\right)\left(x+3\right)}\)
\(=\dfrac{x^2+6x+9+4x-4-x^2+x}{\left(x-1\right)\left(x+2\right)\left(x+3\right)}\)
\(=\dfrac{11x+5}{\left(x-1\right)\left(x+2\right)\left(x+3\right)}\)
