Factor (a+b)^3-(a-b)^3

Math
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Simplify.
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Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
Subtract from .
Add and .
Add and .
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Add and .
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Reorder and .
Add and .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Combine the opposite terms in .
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Reorder the factors in the terms and .
Add and .
Add and .
Simplify each term.
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Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
Rewrite as .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Rewrite using the commutative property of multiplication.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Tap for more steps…
Move .
Subtract from .
Add and .
Add and .
Subtract from .
Add and .
Subtract from .
Add and .
Factor (a+b)^3-(a-b)^3


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