# Calculus Examples

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 .
Expand .
Rewrite as .
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Reorder and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Subtract from .
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
 - - +
Divide the highest order term in the dividend by the highest order term in divisor .
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Multiply the new quotient term by the divisor.
 - - + + -
The expression needs to be subtracted from the dividend, so change all the signs in
 - - + - +
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 - - + - +
Pull the next term from the original dividend down into the current dividend.
 - - + - + +
The final answer is the quotient plus the remainder over the divisor.
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