# Calculus Examples

Set the function equal to and solve for .
Replace with .
To find the roots of the equation, replace with and solve.
Rewrite the equation as .
Factor the left side of the equation.
Factor.
Factor using the perfect square rule.
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 .
Combine like factors.
Rewrite.
Use the power rule to combine exponents.