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Basic Math Examples
Step 1
Multiply by .
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 4.4
Reorder the factors of .
Step 5
Combine the numerators over the common denominator.
Step 6
Step 6.1
Simplify the numerator.
Step 6.1.1
Multiply by by adding the exponents.
Step 6.1.1.1
Multiply by .
Step 6.1.1.1.1
Raise to the power of .
Step 6.1.1.1.2
Use the power rule to combine exponents.
Step 6.1.1.2
Add and .
Step 6.1.2
Multiply by by adding the exponents.
Step 6.1.2.1
Multiply by .
Step 6.1.2.1.1
Raise to the power of .
Step 6.1.2.1.2
Use the power rule to combine exponents.
Step 6.1.2.2
Add and .
Step 6.1.3
Since both terms are perfect cubes, factor using the sum of cubes formula, where and .
Step 6.1.4
Simplify.
Step 6.1.4.1
Add and .
Step 6.1.4.2
Add and .
Step 6.1.4.3
Rewrite as .
Step 6.1.4.4
Expand using the FOIL Method.
Step 6.1.4.4.1
Apply the distributive property.
Step 6.1.4.4.2
Apply the distributive property.
Step 6.1.4.4.3
Apply the distributive property.
Step 6.1.4.5
Simplify and combine like terms.
Step 6.1.4.5.1
Simplify each term.
Step 6.1.4.5.1.1
Multiply by .
Step 6.1.4.5.1.2
Rewrite using the commutative property of multiplication.
Step 6.1.4.5.1.3
Rewrite using the commutative property of multiplication.
Step 6.1.4.5.1.4
Multiply by by adding the exponents.
Step 6.1.4.5.1.4.1
Move .
Step 6.1.4.5.1.4.2
Multiply by .
Step 6.1.4.5.1.5
Multiply by .
Step 6.1.4.5.1.6
Multiply by .
Step 6.1.4.5.2
Subtract from .
Step 6.1.4.5.2.1
Move .
Step 6.1.4.5.2.2
Subtract from .
Step 6.1.4.6
Apply the distributive property.
Step 6.1.4.7
Multiply .
Step 6.1.4.7.1
Multiply by .
Step 6.1.4.7.2
Multiply by .
Step 6.1.4.8
Expand using the FOIL Method.
Step 6.1.4.8.1
Apply the distributive property.
Step 6.1.4.8.2
Apply the distributive property.
Step 6.1.4.8.3
Apply the distributive property.
Step 6.1.4.9
Simplify each term.
Step 6.1.4.9.1
Rewrite using the commutative property of multiplication.
Step 6.1.4.9.2
Multiply by .
Step 6.1.4.9.3
Multiply by .
Step 6.1.4.9.4
Multiply by .
Step 6.1.4.9.5
Rewrite using the commutative property of multiplication.
Step 6.1.4.10
Rewrite as .
Step 6.1.4.11
Expand using the FOIL Method.
Step 6.1.4.11.1
Apply the distributive property.
Step 6.1.4.11.2
Apply the distributive property.
Step 6.1.4.11.3
Apply the distributive property.
Step 6.1.4.12
Simplify and combine like terms.
Step 6.1.4.12.1
Simplify each term.
Step 6.1.4.12.1.1
Multiply by .
Step 6.1.4.12.1.2
Rewrite using the commutative property of multiplication.
Step 6.1.4.12.1.3
Rewrite using the commutative property of multiplication.
Step 6.1.4.12.1.4
Multiply by by adding the exponents.
Step 6.1.4.12.1.4.1
Move .
Step 6.1.4.12.1.4.2
Multiply by .
Step 6.1.4.12.1.5
Multiply by .
Step 6.1.4.12.1.6
Multiply by .
Step 6.1.4.12.2
Subtract from .
Step 6.1.4.12.2.1
Move .
Step 6.1.4.12.2.2
Subtract from .
Step 6.1.4.13
Subtract from .
Step 6.1.4.14
Add and .
Step 6.1.4.15
Add and .
Step 6.1.4.16
Subtract from .
Step 6.2
Cancel the common factor of and .
Step 6.2.1
Factor out of .
Step 6.2.2
Factor out of .
Step 6.2.3
Factor out of .
Step 6.2.4
Reorder terms.
Step 6.2.5
Cancel the common factor.
Step 6.2.6
Rewrite the expression.
Step 6.3
Move the negative in front of the fraction.
Step 7
Combine the numerators over the common denominator.
Step 8
Step 8.1
Apply the distributive property.
Step 8.2
Simplify.
Step 8.2.1
Multiply by .
Step 8.2.2
Multiply by .
Step 8.2.3
Multiply by .
Step 8.3
Remove parentheses.
Step 8.4
Rewrite as .
Step 8.5
Expand using the FOIL Method.
Step 8.5.1
Apply the distributive property.
Step 8.5.2
Apply the distributive property.
Step 8.5.3
Apply the distributive property.
Step 8.6
Simplify and combine like terms.
Step 8.6.1
Simplify each term.
Step 8.6.1.1
Multiply by .
Step 8.6.1.2
Rewrite using the commutative property of multiplication.
Step 8.6.1.3
Rewrite using the commutative property of multiplication.
Step 8.6.1.4
Multiply by by adding the exponents.
Step 8.6.1.4.1
Move .
Step 8.6.1.4.2
Multiply by .
Step 8.6.1.5
Multiply by .
Step 8.6.1.6
Multiply by .
Step 8.6.2
Subtract from .
Step 8.6.2.1
Move .
Step 8.6.2.2
Subtract from .
Step 9
Step 9.1
Combine the opposite terms in .
Step 9.1.1
Add and .
Step 9.1.2
Add and .
Step 9.1.3
Add and .
Step 9.1.4
Add and .
Step 9.2
Subtract from .
Step 9.3
Factor out of .
Step 9.3.1
Factor out of .
Step 9.3.2
Factor out of .
Step 9.3.3
Factor out of .
Step 9.3.4
Factor out of .
Step 9.3.5
Factor out of .
Step 9.3.6
Factor out of .
Step 9.3.7
Factor out of .
Step 9.4
Factor out of .
Step 9.5
Factor out of .
Step 9.6
Factor out of .
Step 9.7
Factor out of .
Step 9.8
Factor out of .
Step 9.9
Factor out of .
Step 9.10
Factor out of .
Step 9.11
Simplify the expression.
Step 9.11.1
Rewrite as .
Step 9.11.2
Move the negative in front of the fraction.