Rational Expressions and Equations

Simplify.

• $\frac{xy}{2}$

• $2xy^2$

• $\frac{x^2y^2}{2}$

Simplify.

• $z-2$

• $\frac{1}{z-2}$

• $z-5$

• $\left(z-5\right)\left(z-2\right)$

Simplify.

• $\frac{3}{x+5}$

• $\frac{3x-3}{x^2-5}$

• $\frac{0}{x-5}$

• Already Simplified

Multiply.

• $\frac{5x\left(x+5\right)}{x^3}$

• $\frac{5\left(x+5\right)}{x^2}$

• $\frac{5x^2+25}{x^3}$

Multiply.

• $1$

• $0$

• $No\ Solution$

• $Already\ Simplified$

Multiply.

• $\frac{1}{m^2}$

• $m^2$

• $\frac{1}{m\left(m+1\right)}$

• $Already\ Simplified$

Divide.

• $\frac{x^5}{y^3}$

• $\frac{x^3}{y}$

• $\frac{x}{y}$

• $\frac{x^2}{y^2}$

Divide.

• $Already\ Simplified$

• $\frac{4\left(x-2\right)}{3\left(x+3\right)}$

• $\frac{x-2}{x+3}$

• $\frac{2}{3}$

Divide.

• $\frac{x+4}{x-5}$

• $\frac{2}{\left(x-5\right)\left(x-3\right)}$

• $\frac{2\left(x+4\right)}{\left(x-5\right)\left(x-3\right)}$

• $Already\ Simplified$

Divide.

• $\frac{1}{2}n^2-n+10n$

• $2n^2-n+\frac{5}{2n}$

• $-n+5$

• $n+5$