# Precalculus Examples

,

Subtract from both sides of the equation.

Add to both sides of the equation.

Simplify .

Simplify each term.

Apply the distributive property.

Simplify.

Multiply by .

Multiply by .

Simplify by adding terms.

Subtract from .

Add and .

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Combine the opposite terms in .

Subtract from .

Add and .

Apply the distributive property.

Combine the opposite terms in .

Add and .

Add and .

Add and .

Add and .

Since , the equation will always be true.

Always true

Always true

Reorder and .

Always true

Always true