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Basic Math Examples
Step 1
Step 1.1
Factor using the AC method.
Step 1.1.1
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 1.1.2
Write the factored form using these integers.
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 1.3
Cancel the common factor of .
Step 1.3.1
Cancel the common factor.
Step 1.3.2
Rewrite the expression.
Step 2
Step 2.1
Factor out of .
Step 2.2
Rewrite as .
Step 2.3
Factor out of .
Step 2.4
Reorder terms.
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
Step 4.1
Multiply by .
Step 4.2
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
Move to the left of .
Step 6.3
Multiply by .
Step 6.4
Rewrite as .
Step 6.5
Apply the distributive property.
Step 6.6
Multiply by .
Step 6.7
Subtract from .
Step 6.8
Add and .
Step 7
Step 7.1
Move the negative in front of the fraction.
Step 7.2
Factor out of .
Step 7.3
Rewrite as .
Step 7.4
Factor out of .
Step 7.5
Rewrite as .
Step 7.6
Factor out of .
Step 7.7
Rewrite as .
Step 7.8
Factor out of .
Step 7.9
Rewrite as .
Step 7.10
Cancel the common factor.
Step 7.11
Rewrite the expression.