Basic Math Examples

Simplify (20c^2y+4cy^2)/((3c-2y)^2+(2c+3y)^2)
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 2
Simplify the denominator.
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Step 2.1
Rewrite as .
Step 2.2
Expand using the FOIL Method.
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Step 2.2.1
Apply the distributive property.
Step 2.2.2
Apply the distributive property.
Step 2.2.3
Apply the distributive property.
Step 2.3
Simplify and combine like terms.
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Step 2.3.1
Simplify each term.
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Step 2.3.1.1
Rewrite using the commutative property of multiplication.
Step 2.3.1.2
Multiply by by adding the exponents.
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Step 2.3.1.2.1
Move .
Step 2.3.1.2.2
Multiply by .
Step 2.3.1.3
Multiply by .
Step 2.3.1.4
Rewrite using the commutative property of multiplication.
Step 2.3.1.5
Multiply by .
Step 2.3.1.6
Rewrite using the commutative property of multiplication.
Step 2.3.1.7
Multiply by .
Step 2.3.1.8
Rewrite using the commutative property of multiplication.
Step 2.3.1.9
Multiply by by adding the exponents.
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Step 2.3.1.9.1
Move .
Step 2.3.1.9.2
Multiply by .
Step 2.3.1.10
Multiply by .
Step 2.3.2
Subtract from .
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Step 2.3.2.1
Move .
Step 2.3.2.2
Subtract from .
Step 2.4
Rewrite as .
Step 2.5
Expand using the FOIL Method.
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Step 2.5.1
Apply the distributive property.
Step 2.5.2
Apply the distributive property.
Step 2.5.3
Apply the distributive property.
Step 2.6
Simplify and combine like terms.
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Step 2.6.1
Simplify each term.
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Step 2.6.1.1
Rewrite using the commutative property of multiplication.
Step 2.6.1.2
Multiply by by adding the exponents.
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Step 2.6.1.2.1
Move .
Step 2.6.1.2.2
Multiply by .
Step 2.6.1.3
Multiply by .
Step 2.6.1.4
Rewrite using the commutative property of multiplication.
Step 2.6.1.5
Multiply by .
Step 2.6.1.6
Rewrite using the commutative property of multiplication.
Step 2.6.1.7
Multiply by .
Step 2.6.1.8
Rewrite using the commutative property of multiplication.
Step 2.6.1.9
Multiply by by adding the exponents.
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Step 2.6.1.9.1
Move .
Step 2.6.1.9.2
Multiply by .
Step 2.6.1.10
Multiply by .
Step 2.6.2
Add and .
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Step 2.6.2.1
Move .
Step 2.6.2.2
Add and .
Step 2.7
Add and .
Step 2.8
Add and .
Step 2.9
Add and .
Step 2.10
Add and .
Step 2.11
Factor out of .
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Step 2.11.1
Factor out of .
Step 2.11.2
Factor out of .
Step 2.11.3
Factor out of .