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Simplify: $\frac{{p}^{3}-64}{{p}^{2}-16}.$

Simplify: $\frac{{x}^{3}+8}{{x}^{2}-4}.$

Simplify: $\frac{x-8}{8-x}.$

Simplify: $\frac{y-2}{2-y}.$

Simplify: $\frac{n-9}{9-n}.$

Simplify: $\frac{14-2x}{{x}^{2}-49}.$

Simplify: $\frac{10-2y}{{y}^{2}-25}.$

Simplify: $\frac{3y-27}{81-{y}^{2}}.$

Simplify: $\frac{{x}^{2}-4x-32}{64-{x}^{2}}.$

Simplify: $\frac{{x}^{2}-4x-5}{25-{x}^{2}}.$

Simplify: $\frac{{x}^{2}+x-2}{1-{x}^{2}}.$

In the following exercises, determine the values for which the rational expression is undefined.

ⓐ $\frac{2x}{z}$ ⓑ $\frac{4p-1}{6p-5}$ ⓒ $\frac{n-3}{{n}^{2}+2n-8}$

In the following exercises, determine the values for which the rational expression is undefined.

ⓐ $\frac{10m}{11n}$ ⓑ $\frac{6y+13}{4y-9}$ ⓒ $\frac{b-8}{{b}^{2}-36}$

In the following exercises, determine the values for which the rational expression is undefined.

ⓐ $\frac{4{x}^{2}y}{3y}$ ⓑ $\frac{3x-2}{2x+1}$ ⓒ $\frac{u-1}{{u}^{2}-3u-28}$

In the following exercises, determine the values for which the rational expression is undefined.

ⓐ $\frac{5p{q}^{2}}{9q}$ ⓑ $\frac{7a-4}{3a+5}$ ⓒ $\frac{1}{{x}^{2}-4}$

Evaluate Rational Expressions

In the following exercises, evaluate the rational expression for the given values.

$\frac{2x}{x-1}$

ⓐ $x=0$ ⓑ $x=2$ ⓒ $x=-1$

Evaluate Rational Expressions

In the following exercises, evaluate the rational expression for the given values.

$\frac{4y-1}{5y-3}$

ⓐ $y=0$ ⓑ $y=2$ ⓒ $y=-1$

Evaluate Rational Expressions

In the following exercises, evaluate the rational expression for the given values.

$\frac{2p+3}{{p}^{2}+1}$

ⓐ $p=0$ ⓑ $p=1$ ⓒ $p=-2$

Evaluate Rational Expressions

In the following exercises, evaluate the rational expression for the given values.

$\frac{x+3}{2-3x}$

ⓐ $x=0$ ⓑ $x=1$ ⓒ $x=-2$

Evaluate Rational Expressions

In the following exercises, evaluate the rational expression for the given values.

$\frac{{y}^{2}+5y+6}{{y}^{2}-1}$

ⓐ $y=0$ ⓑ $y=2$ ⓒ $y=-2$