Question

Answer 1

a: \(=\dfrac{3x-2-7x+4}{2xy}=\dfrac{-4x+2}{2xy}=\dfrac{-2x+1}{xy}\)

b: \(=\dfrac{3x+5-5+15x}{4x^3y}=\dfrac{18x}{4x^3y}=\dfrac{9}{2x^2y}\)

c: \(=\dfrac{4x+7-3x-6}{2x+2}=\dfrac{1}{2}\)

d: \(=\dfrac{9x+5-5x+7}{2\left(x-1\right)\left(x+3\right)^2}=\dfrac{4x+12}{2\left(x-1\right)\left(x+3\right)^2}\)

\(=\dfrac{2}{\left(x-1\right)\left(x+3\right)}\)

e \(=\dfrac{xy+x^2}{\left(x-y\right)\left(x+y\right)}=\dfrac{x\left(x+y\right)}{\left(x-y\right)\left(x+y\right)}=\dfrac{x}{x+y}\)

f: \(\dfrac{5x+y^2}{x^2y}-\dfrac{5y-x^2}{xy^2}\)

\(=\dfrac{5xy+y^3-5xy+x^3}{x^2y^2}=\dfrac{x^3+y^3}{x^2y^2}\)