Trigonometry Examples

Simplify (x+y)^3-(x-y)^3
Step 1
Simplify each term.
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Step 1.1
Use the Binomial Theorem.
Step 1.2
Use the Binomial Theorem.
Step 1.3
Simplify each term.
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Step 1.3.1
Rewrite using the commutative property of multiplication.
Step 1.3.2
Multiply by .
Step 1.3.3
Apply the product rule to .
Step 1.3.4
Rewrite using the commutative property of multiplication.
Step 1.3.5
Raise to the power of .
Step 1.3.6
Multiply by .
Step 1.3.7
Apply the product rule to .
Step 1.3.8
Raise to the power of .
Step 1.4
Apply the distributive property.
Step 1.5
Simplify.
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Step 1.5.1
Multiply by .
Step 1.5.2
Multiply by .
Step 1.5.3
Multiply .
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Step 1.5.3.1
Multiply by .
Step 1.5.3.2
Multiply by .
Step 1.6
Remove parentheses.
Step 2
Simplify by adding terms.
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Step 2.1
Combine the opposite terms in .
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Step 2.1.1
Subtract from .
Step 2.1.2
Add and .
Step 2.1.3
Subtract from .
Step 2.1.4
Add and .
Step 2.2
Add and .
Step 2.3
Add and .