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Pre-Algebra Examples
Step 1
Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 2
Multiply by .
Step 3
Step 3.1
Factor out of .
Step 3.2
Cancel the common factors.
Step 3.2.1
Cancel the common factor.
Step 3.2.2
Rewrite the expression.
Step 4
Step 4.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Step 4.1.1
Multiply by .
Step 4.1.2
Rewrite as plus
Step 4.1.3
Apply the distributive property.
Step 4.2
Factor out the greatest common factor from each group.
Step 4.2.1
Group the first two terms and the last two terms.
Step 4.2.2
Factor out the greatest common factor (GCF) from each group.
Step 4.3
Factor the polynomial by factoring out the greatest common factor, .
Step 5
Step 5.1
Cancel the common factor.
Step 5.2
Divide by .
Step 6
Step 6.1
Apply the distributive property.
Step 6.2
Apply the distributive property.
Step 6.3
Apply the distributive property.
Step 7
Step 7.1
Simplify each term.
Step 7.1.1
Rewrite using the commutative property of multiplication.
Step 7.1.2
Multiply by by adding the exponents.
Step 7.1.2.1
Move .
Step 7.1.2.2
Multiply by .
Step 7.1.3
Move to the left of .
Step 7.1.4
Multiply by .
Step 7.1.5
Multiply by .
Step 7.2
Add and .