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Calculus Examples
Step 1
Step 1.1
Factor using the perfect square rule.
Step 1.1.1
Rewrite as .
Step 1.1.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 1.1.3
Rewrite the polynomial.
Step 1.1.4
Factor using the perfect square trinomial rule , where and .
Step 1.2
Factor using the AC method.
Step 1.2.1
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 .
Step 1.2.2
Write the factored form using these integers.
Step 2
Step 2.1
Multiply by .
Step 2.2
Multiply by .
Step 2.3
Multiply by .
Step 2.4
Multiply by .
Step 2.5
Multiply by .
Step 2.6
Multiply by .
Step 2.7
Reorder the factors of .
Step 2.8
Raise to the power of .
Step 2.9
Raise to the power of .
Step 2.10
Use the power rule to combine exponents.
Step 2.11
Add and .
Step 3
Combine the numerators over the common denominator.
Step 4
Step 4.1
Apply the distributive property.
Step 4.2
Multiply by by adding the exponents.
Step 4.2.1
Move .
Step 4.2.2
Multiply by .
Step 4.3
Multiply by .
Step 4.4
Rewrite as .
Step 4.5
Expand using the FOIL Method.
Step 4.5.1
Apply the distributive property.
Step 4.5.2
Apply the distributive property.
Step 4.5.3
Apply the distributive property.
Step 4.6
Simplify and combine like terms.
Step 4.6.1
Simplify each term.
Step 4.6.1.1
Multiply by .
Step 4.6.1.2
Move to the left of .
Step 4.6.1.3
Multiply by .
Step 4.6.2
Subtract from .
Step 4.7
Apply the distributive property.
Step 4.8
Simplify.
Step 4.8.1
Multiply by .
Step 4.8.2
Multiply by .
Step 4.9
Apply the distributive property.
Step 4.10
Multiply by .
Step 5
Step 5.1
Subtract from .
Step 5.2
Add and .
Step 5.3
Combine the opposite terms in .
Step 5.3.1
Subtract from .
Step 5.3.2
Add and .
Step 5.4
Add and .