Reduce \(\displaystyle\frac{x^2-9}{x-3}\)

Reduce \(\displaystyle\frac{y^2-5y-6}{y^2-1}\)

Reduce \(\displaystyle\frac{2a^3-16}{4a^2-12a+8}\)

Reduce \(\displaystyle\frac{a-b}{b-a}\)

Multiply \(\displaystyle\frac{6}{7}\cdot \displaystyle\frac{14}{18}\)

Multiply \(\displaystyle\frac{8x^3}{27y^8}\cdot \displaystyle\frac{9y^3}{12x^2}\)

Multiply \(\displaystyle\frac{2y^2-4y}{2y^2-2}\cdot \displaystyle\frac{y^2-2y-3}{y^2-5y+6}\)

Divide \(\displaystyle\frac{x^2-y^2}{x^2-2xy+y^2}\div \displaystyle\frac{x^3+y^3}{x^3-x^2y}\)

Multiply \(\left(4x^2-36\right)\cdot \displaystyle\frac{12}{4x+12}\)

Multiply \(3(x-2)(x-1)\cdot \displaystyle\frac{5}{x^2 -3x+2}\)

Add \(\displaystyle\frac{x}{x^2-1}+\displaystyle\frac{1}{x^2-1}\)

Add \(\displaystyle\frac{3}{14}+\displaystyle\frac{7}{30}\)

Add \(\displaystyle\frac{-2}{x^2-2x-3}+\displaystyle\frac{3}{x^2-9}\)

Subtract \(\displaystyle\frac{x+4}{2x+10}-\displaystyle\frac{5}{x^2-25}\)

Simplify: \(\displaystyle\frac{\displaystyle\frac{1}{x}+\displaystyle\frac{1}{y}}{\displaystyle\frac{1}{x}-\displaystyle\frac{1}{y}}\)

Simplify \(\displaystyle\frac{1-\displaystyle\frac{4}{x^2}}{1-\displaystyle\frac{1}{x}-\displaystyle\frac{6}{x^2}}\)