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Basic Math Examples
Step 1
Step 1.1
Factor out of .
Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Simplify the denominator.
Step 1.2.1
Factor out of .
Step 1.2.1.1
Factor out of .
Step 1.2.1.2
Factor out of .
Step 1.2.1.3
Factor out of .
Step 1.2.1.4
Factor out of .
Step 1.2.1.5
Factor out of .
Step 1.2.2
Factor using the AC method.
Step 1.2.2.1
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 1.2.2.2
Write the factored form using these integers.
Step 1.3
Cancel the common factor of and .
Step 1.3.1
Factor out of .
Step 1.3.2
Cancel the common factors.
Step 1.3.2.1
Factor out of .
Step 1.3.2.2
Factor out of .
Step 1.3.2.3
Factor out of .
Step 1.3.2.4
Factor out of .
Step 1.3.2.5
Factor out of .
Step 1.3.2.6
Cancel the common factor.
Step 1.3.2.7
Rewrite the expression.
Step 1.4
Factor using the AC method.
Step 1.4.1
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 1.4.2
Write the factored form using these integers.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 4.3
Reorder the factors of .
Step 4.4
Reorder the factors of .
Step 5
Combine the numerators over the common denominator.
Step 6
Step 6.1
Apply the distributive property.
Step 6.2
Multiply by .
Step 6.3
Multiply by .
Step 6.4
Expand using the FOIL Method.
Step 6.4.1
Apply the distributive property.
Step 6.4.2
Apply the distributive property.
Step 6.4.3
Apply the distributive property.
Step 6.5
Simplify and combine like terms.
Step 6.5.1
Simplify each term.
Step 6.5.1.1
Multiply by by adding the exponents.
Step 6.5.1.1.1
Move .
Step 6.5.1.1.2
Multiply by .
Step 6.5.1.2
Multiply by .
Step 6.5.1.3
Multiply by .
Step 6.5.2
Add and .
Step 6.6
Multiply by .
Step 6.7
Apply the distributive property.
Step 6.8
Multiply by .
Step 6.9
Add and .
Step 6.10
Add and .