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Pre-Algebra Examples
Step 1
Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Multiply by .
Step 3
Step 3.1
Multiply by .
Step 3.2
Raise to the power of .
Step 3.3
Raise to the power of .
Step 3.4
Use the power rule to combine exponents.
Step 3.5
Add and .
Step 3.6
Rewrite as .
Step 3.6.1
Use to rewrite as .
Step 3.6.2
Apply the power rule and multiply exponents, .
Step 3.6.3
Combine and .
Step 3.6.4
Cancel the common factor of .
Step 3.6.4.1
Cancel the common factor.
Step 3.6.4.2
Rewrite the expression.
Step 3.6.5
Simplify.
Step 4
To write as a fraction with a common denominator, multiply by .
Step 5
Combine the numerators over the common denominator.
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
To write as a fraction with a common denominator, multiply by .
Step 8
Step 8.1
Multiply by .
Step 8.2
Multiply by .
Step 8.3
Reorder the factors of .
Step 9
Combine the numerators over the common denominator.
Step 10
Step 10.1
Remove parentheses.
Step 10.2
Factor out of .
Step 10.2.1
Factor out of .
Step 10.2.2
Factor out of .
Step 10.2.3
Factor out of .
Step 10.3
Use to rewrite as .
Step 10.4
Use to rewrite as .
Step 10.5
Use to rewrite as .
Step 10.6
Multiply by by adding the exponents.
Step 10.6.1
Move .
Step 10.6.2
Multiply by .
Step 10.6.2.1
Raise to the power of .
Step 10.6.2.2
Use the power rule to combine exponents.
Step 10.6.3
Write as a fraction with a common denominator.
Step 10.6.4
Combine the numerators over the common denominator.
Step 10.6.5
Add and .
Step 10.7
Apply the distributive property.
Step 10.8
Multiply by .
Step 10.9
Multiply by .
Step 10.10
Apply the distributive property.
Step 10.11
Multiply by by adding the exponents.
Step 10.11.1
Move .
Step 10.11.2
Use the power rule to combine exponents.
Step 10.11.3
Combine the numerators over the common denominator.
Step 10.11.4
Add and .
Step 10.11.5
Divide by .
Step 10.12
Multiply by by adding the exponents.
Step 10.12.1
Move .
Step 10.12.2
Use the power rule to combine exponents.
Step 10.12.3
Combine the numerators over the common denominator.
Step 10.12.4
Add and .
Step 10.12.5
Divide by .
Step 10.13
Simplify .
Step 10.14
Simplify each term.
Step 10.14.1
Rewrite as .
Step 10.14.2
Expand using the FOIL Method.
Step 10.14.2.1
Apply the distributive property.
Step 10.14.2.2
Apply the distributive property.
Step 10.14.2.3
Apply the distributive property.
Step 10.14.3
Simplify and combine like terms.
Step 10.14.3.1
Simplify each term.
Step 10.14.3.1.1
Rewrite using the commutative property of multiplication.
Step 10.14.3.1.2
Multiply by by adding the exponents.
Step 10.14.3.1.2.1
Move .
Step 10.14.3.1.2.2
Multiply by .
Step 10.14.3.1.3
Multiply by .
Step 10.14.3.1.4
Multiply by .
Step 10.14.3.1.5
Multiply by .
Step 10.14.3.1.6
Multiply by .
Step 10.14.3.2
Add and .
Step 10.14.4
Apply the distributive property.
Step 10.14.5
Simplify.
Step 10.14.5.1
Multiply by .
Step 10.14.5.2
Multiply by .
Step 10.14.5.3
Multiply by .
Step 10.14.6
Apply the distributive property.
Step 10.14.7
Rewrite using the commutative property of multiplication.
Step 10.14.8
Multiply by .
Step 10.14.9
Simplify each term.
Step 10.14.9.1
Multiply by by adding the exponents.
Step 10.14.9.1.1
Move .
Step 10.14.9.1.2
Multiply by .
Step 10.14.9.2
Multiply by .
Step 10.15
Subtract from .
Step 10.16
Subtract from .
Step 10.17
Apply the distributive property.
Step 10.18
Multiply by .
Step 10.19
Multiply by .
Step 10.20
Add and .
Step 10.21
Add and .
Step 10.22
Factor.
Step 10.22.1
Factor by grouping.
Step 10.22.1.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Step 10.22.1.1.1
Factor out of .
Step 10.22.1.1.2
Rewrite as plus
Step 10.22.1.1.3
Apply the distributive property.
Step 10.22.1.2
Factor out the greatest common factor from each group.
Step 10.22.1.2.1
Group the first two terms and the last two terms.
Step 10.22.1.2.2
Factor out the greatest common factor (GCF) from each group.
Step 10.22.1.3
Factor the polynomial by factoring out the greatest common factor, .
Step 10.22.2
Remove unnecessary parentheses.
Step 10.23
Reduce the expression by cancelling the common factors.
Step 10.23.1
Cancel the common factor.
Step 10.23.2
Rewrite the expression.
Step 11
Step 11.1
Cancel the common factor.
Step 11.2
Rewrite the expression.