Pre-Algebra Examples

Divide (36xy^4-24x^3y^3+18x^3y^2)÷6xy
Step 1
Rewrite the division as a fraction.
Step 2
Factor out of .
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Step 2.1
Factor out of .
Step 2.2
Factor out of .
Step 2.3
Factor out of .
Step 2.4
Factor out of .
Step 2.5
Factor out of .
Step 3
Cancel the common factor of .
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Step 3.1
Cancel the common factor.
Step 3.2
Rewrite the expression.
Step 4
Cancel the common factor of .
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Step 4.1
Cancel the common factor.
Step 4.2
Rewrite the expression.
Step 5
Cancel the common factor of and .
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Step 5.1
Factor out of .
Step 5.2
Cancel the common factors.
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Step 5.2.1
Raise to the power of .
Step 5.2.2
Factor out of .
Step 5.2.3
Cancel the common factor.
Step 5.2.4
Rewrite the expression.
Step 5.2.5
Divide by .
Step 6
Apply the distributive property.
Step 7
Simplify.
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Step 7.1
Rewrite using the commutative property of multiplication.
Step 7.2
Rewrite using the commutative property of multiplication.
Step 7.3
Rewrite using the commutative property of multiplication.
Step 8
Simplify each term.
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Step 8.1
Multiply by by adding the exponents.
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Step 8.1.1
Move .
Step 8.1.2
Multiply by .
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Step 8.1.2.1
Raise to the power of .
Step 8.1.2.2
Use the power rule to combine exponents.
Step 8.1.3
Add and .
Step 8.2
Multiply by by adding the exponents.
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Step 8.2.1
Move .
Step 8.2.2
Multiply by .