Basic Math Examples

Simplify ((25a^3)/(10a^3-20a^2))÷((-a)/(4a-8))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Simplify terms.
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Step 2.1
Cancel the common factor of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Cancel the common factor.
Step 2.1.4
Rewrite the expression.
Step 2.2
Multiply by .
Step 3
Simplify the numerator.
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Step 3.1
Factor out of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Factor out of .
Step 3.1.3
Factor out of .
Step 3.2
Multiply by .
Step 4
Simplify the denominator.
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Step 4.1
Factor out of .
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Step 4.1.1
Factor out of .
Step 4.1.2
Factor out of .
Step 4.1.3
Factor out of .
Step 4.2
Multiply by .
Step 5
Reduce the expression by cancelling the common factors.
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Step 5.1
Cancel the common factor of and .
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Step 5.1.1
Factor out of .
Step 5.1.2
Cancel the common factors.
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Step 5.1.2.1
Factor out of .
Step 5.1.2.2
Cancel the common factor.
Step 5.1.2.3
Rewrite the expression.
Step 5.2
Cancel the common factor of .
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Step 5.2.1
Cancel the common factor.
Step 5.2.2
Rewrite the expression.
Step 5.3
Cancel the common factor of .
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Step 5.3.1
Cancel the common factor.
Step 5.3.2
Rewrite the expression.
Step 5.3.3
Move the negative one from the denominator of .
Step 5.4
Multiply by .