Pre-Algebra Examples

Divide (5xyz+15xyz^2-20x^3y^6z^8)/(15xy)
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 1.4
Factor out of .
Step 1.5
Factor out of .
Step 2
Cancel the common factor of and .
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Step 2.1
Factor out of .
Step 2.2
Cancel the common factors.
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Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
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
Apply the distributive property.
Step 6
Simplify.
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Step 6.1
Multiply by .
Step 6.2
Rewrite using the commutative property of multiplication.
Step 6.3
Rewrite using the commutative property of multiplication.
Step 7
Simplify each term.
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Step 7.1
Multiply by by adding the exponents.
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Step 7.1.1
Move .
Step 7.1.2
Multiply by .
Step 7.2
Multiply by by adding the exponents.
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Step 7.2.1
Move .
Step 7.2.2
Multiply by .
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Step 7.2.2.1
Raise to the power of .
Step 7.2.2.2
Use the power rule to combine exponents.
Step 7.2.3
Add and .
Step 8
Split the fraction into two fractions.
Step 9
Split the fraction into two fractions.
Step 10
Cancel the common factor of .
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Step 10.1
Cancel the common factor.
Step 10.2
Divide by .
Step 11
Move the negative in front of the fraction.