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Pre-Algebra Examples
Step 1
Step 1.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Step 1.1.1
Multiply by .
Step 1.1.2
Rewrite as plus
Step 1.1.3
Apply the distributive property.
Step 1.2
Factor out the greatest common factor from each group.
Step 1.2.1
Group the first two terms and the last two terms.
Step 1.2.2
Factor out the greatest common factor (GCF) from each group.
Step 1.3
Factor the polynomial by factoring out the greatest common factor, .
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 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
Apply the distributive property.
Step 6.5
Multiply by .
Step 6.6
Multiply by .
Step 6.7
Subtract from .
Step 6.8
Add and .
Step 7
Step 7.1
Reorder the factors of .
Step 7.2
Combine the numerators over the common denominator.
Step 8
Step 8.1
Add and .
Step 8.2
Add and .