# Calculus Examples

,

Substitute for .

Subtract from both sides of the equation.

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

Subtract from .

Factor the left side of the equation.

Factor out of .

Reorder and .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Factor using the perfect square rule.

Rewrite as .

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Set the equal to .

Solve for .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .