# Calculus Examples

,

Substitute for .

Subtract from both sides of the equation.

Move to the left side of the equation by adding it to both sides.

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Factor.

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Remove unnecessary parentheses.

Set the factor equal to .

Add to both sides of the equation.

Set the factor equal to .

Subtract from both sides of the equation.

The solution is the result of and .