Basic Math Examples

Multiply (2c+3y)(4c^2-6cy+9y^2)
Step 1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2
Simplify terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Rewrite using the commutative property of multiplication.
Step 2.1.2
Multiply by by adding the exponents.
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Step 2.1.2.1
Move .
Step 2.1.2.2
Multiply by .
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Step 2.1.2.2.1
Raise to the power of .
Step 2.1.2.2.2
Use the power rule to combine exponents.
Step 2.1.2.3
Add and .
Step 2.1.3
Multiply by .
Step 2.1.4
Multiply by by adding the exponents.
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Step 2.1.4.1
Move .
Step 2.1.4.2
Multiply by .
Step 2.1.5
Rewrite using the commutative property of multiplication.
Step 2.1.6
Multiply by .
Step 2.1.7
Rewrite using the commutative property of multiplication.
Step 2.1.8
Multiply by .
Step 2.1.9
Rewrite using the commutative property of multiplication.
Step 2.1.10
Multiply by .
Step 2.1.11
Multiply by by adding the exponents.
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Step 2.1.11.1
Move .
Step 2.1.11.2
Multiply by .
Step 2.1.12
Rewrite using the commutative property of multiplication.
Step 2.1.13
Multiply by .
Step 2.1.14
Rewrite using the commutative property of multiplication.
Step 2.1.15
Multiply by by adding the exponents.
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Step 2.1.15.1
Move .
Step 2.1.15.2
Multiply by .
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Step 2.1.15.2.1
Raise to the power of .
Step 2.1.15.2.2
Use the power rule to combine exponents.
Step 2.1.15.3
Add and .
Step 2.1.16
Multiply by .
Step 2.2
Combine the opposite terms in .
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Step 2.2.1
Reorder the factors in the terms and .
Step 2.2.2
Add and .
Step 2.2.3
Add and .
Step 2.2.4
Reorder the factors in the terms and .
Step 2.2.5
Subtract from .
Step 2.2.6
Add and .