Basic Math Examples

Simplify (z-y)(z^2+y^2)(z+y)
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
Multiply by by adding the exponents.
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Step 2.1.1
Multiply by .
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Step 2.1.1.1
Raise to the power of .
Step 2.1.1.2
Use the power rule to combine exponents.
Step 2.1.2
Add and .
Step 2.2
Multiply by by adding the exponents.
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Step 2.2.1
Move .
Step 2.2.2
Multiply by .
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Step 2.2.2.1
Raise to the power of .
Step 2.2.2.2
Use the power rule to combine exponents.
Step 2.2.3
Add and .
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
Simplify each term.
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Step 4.1.1
Multiply by by adding the exponents.
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Step 4.1.1.1
Multiply by .
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Step 4.1.1.1.1
Raise to the power of .
Step 4.1.1.1.2
Use the power rule to combine exponents.
Step 4.1.1.2
Add and .
Step 4.1.2
Multiply by by adding the exponents.
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Step 4.1.2.1
Move .
Step 4.1.2.2
Multiply by .
Step 4.1.3
Multiply by by adding the exponents.
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Step 4.1.3.1
Move .
Step 4.1.3.2
Multiply by .
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Step 4.1.3.2.1
Raise to the power of .
Step 4.1.3.2.2
Use the power rule to combine exponents.
Step 4.1.3.3
Add and .
Step 4.1.4
Multiply by by adding the exponents.
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Step 4.1.4.1
Move .
Step 4.1.4.2
Multiply by .
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Step 4.1.4.2.1
Raise to the power of .
Step 4.1.4.2.2
Use the power rule to combine exponents.
Step 4.1.4.3
Add and .
Step 4.1.5
Multiply by by adding the exponents.
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Step 4.1.5.1
Move .
Step 4.1.5.2
Multiply by .
Step 4.1.6
Multiply by by adding the exponents.
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Step 4.1.6.1
Move .
Step 4.1.6.2
Multiply by .
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Step 4.1.6.2.1
Raise to the power of .
Step 4.1.6.2.2
Use the power rule to combine exponents.
Step 4.1.6.3
Add and .
Step 4.2
Combine the opposite terms in .
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Step 4.2.1
Reorder the factors in the terms and .
Step 4.2.2
Subtract from .
Step 4.2.3
Add and .
Step 4.2.4
Reorder the factors in the terms and .
Step 4.2.5
Subtract from .
Step 4.2.6
Add and .
Step 4.2.7
Reorder the factors in the terms and .
Step 4.2.8
Subtract from .
Step 4.2.9
Add and .