Algebra Examples

Simplify (a-b)(b-c)(c-a)
Step 1
Expand using the FOIL Method.
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify each term.
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Step 2.1
Rewrite using the commutative property of multiplication.
Step 2.2
Multiply by by adding the exponents.
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Step 2.2.1
Move .
Step 2.2.2
Multiply by .
Step 2.3
Rewrite using the commutative property of multiplication.
Step 2.4
Multiply by .
Step 2.5
Multiply by .
Step 3
Expand by multiplying each term in the first expression by each term in the second expression.
Step 4
Simplify terms.
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Step 4.1
Combine the opposite terms in .
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Step 4.1.1
Reorder the factors in the terms and .
Step 4.1.2
Subtract from .
Step 4.1.3
Add and .
Step 4.2
Simplify each term.
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Step 4.2.1
Rewrite using the commutative property of multiplication.
Step 4.2.2
Multiply by by adding the exponents.
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Step 4.2.2.1
Move .
Step 4.2.2.2
Multiply by .
Step 4.2.3
Multiply by by adding the exponents.
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Step 4.2.3.1
Move .
Step 4.2.3.2
Multiply by .
Step 4.2.4
Multiply by by adding the exponents.
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Step 4.2.4.1
Move .
Step 4.2.4.2
Multiply by .
Step 4.2.5
Multiply .
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Step 4.2.5.1
Multiply by .
Step 4.2.5.2
Multiply by .
Step 4.2.6
Rewrite using the commutative property of multiplication.
Step 4.2.7
Multiply by .
Step 4.2.8
Multiply by .
Step 4.2.9
Multiply by by adding the exponents.
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Step 4.2.9.1
Move .
Step 4.2.9.2
Multiply by .