State the restrictions on the variable \(\displaystyle\frac{x+2}{x-3}\)

State the restrictions on the variable \(\displaystyle\frac{5}{x^2-x-6}\)

Reduce \(\displaystyle\frac{x^2-9}{x^2+5x+6}\)

Reduce \(\displaystyle\frac{10a+20}{5a^2-20}\)

Reduce \(\displaystyle\frac{2x^3+2x^2-24x}{x^3+2x^2-8x}\)

Reduce \(\displaystyle\frac{x-5}{x^2-25}\)

Mini Lecture
Reduce to lowest terms.

1. \(\displaystyle\frac{10a+20}{5a+10}\)

2. \(\displaystyle\frac{x^3+3x^2-4x}{x^3-16x}\)

3. \(\displaystyle\frac{4x^2-12x+9}{4x^2-9}\)