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Pre-Algebra Examples
Step 1
Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Step 2.1
Simplify each term.
Step 2.1.1
Multiply by .
Step 2.1.2
Combine and .
Step 2.1.3
Move to the left of .
Step 2.1.4
Combine and .
Step 2.1.5
Move to the left of .
Step 2.1.6
Cancel the common factor of .
Step 2.1.6.1
Move the leading negative in into the numerator.
Step 2.1.6.2
Factor out of .
Step 2.1.6.3
Cancel the common factor.
Step 2.1.6.4
Rewrite the expression.
Step 2.1.7
Cancel the common factor of .
Step 2.1.7.1
Cancel the common factor.
Step 2.1.7.2
Rewrite the expression.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
To write as a fraction with a common denominator, multiply by .
Step 2.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 2.4.1
Multiply by .
Step 2.4.2
Multiply by .
Step 2.4.3
Multiply by .
Step 2.4.4
Multiply by .
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
To write as a fraction with a common denominator, multiply by .
Step 2.7
Combine and .
Step 2.8
Combine the numerators over the common denominator.
Step 2.9
To write as a fraction with a common denominator, multiply by .
Step 2.10
Combine and .
Step 2.11
Combine the numerators over the common denominator.
Step 3
Step 3.1
Move to the left of .
Step 3.2
Multiply by .
Step 3.3
Multiply by .
Step 3.4
Multiply by .
Step 3.5
Subtract from .
Step 3.6
Factor by grouping.
Step 3.6.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Step 3.6.1.1
Factor out of .
Step 3.6.1.2
Rewrite as plus
Step 3.6.1.3
Apply the distributive property.
Step 3.6.2
Factor out the greatest common factor from each group.
Step 3.6.2.1
Group the first two terms and the last two terms.
Step 3.6.2.2
Factor out the greatest common factor (GCF) from each group.
Step 3.6.3
Factor the polynomial by factoring out the greatest common factor, .