# Precalculus Examples

Step 1

Step 1.1

Factor out of .

Step 1.2

Cancel the common factors.

Step 1.2.1

Factor out of .

Step 1.2.2

Cancel the common factor.

Step 1.2.3

Rewrite the expression.

Step 2

Step 2.1

Subtract from both sides of the equation.

Step 2.2

To write as a fraction with a common denominator, multiply by .

Step 2.3

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Step 2.3.1

Multiply by .

Step 2.3.2

Multiply by .

Step 2.4

Combine the numerators over the common denominator.

Step 2.5

Subtract from .

Step 2.6

Cancel the common factor of and .

Step 2.6.1

Factor out of .

Step 2.6.2

Cancel the common factors.

Step 2.6.2.1

Factor out of .

Step 2.6.2.2

Cancel the common factor.

Step 2.6.2.3

Rewrite the expression.

Step 2.7

Move the negative in front of the fraction.

Step 3

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Step 4

Step 4.1

Divide each term in by .

Step 4.2

Simplify the left side.

Step 4.2.1

Dividing two negative values results in a positive value.

Step 4.2.2

Divide by .

Step 4.3

Simplify the right side.

Step 4.3.1

Divide by .