Pre-Algebra Examples

Simplify ((9x^5)/(a^2-b^2))÷((27x^2)/(3b-3a))
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 2.3
Cancel the common factor of and .
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Step 2.3.1
Factor out of .
Step 2.3.2
Cancel the common factors.
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Step 2.3.2.1
Factor out of .
Step 2.3.2.2
Cancel the common factor.
Step 2.3.2.3
Rewrite the expression.
Step 3
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 4
Reduce the expression by cancelling the common factors.
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Step 4.1
Cancel the common factor of and .
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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 4.1.4
Reorder terms.
Step 4.1.5
Cancel the common factor.
Step 4.1.6
Rewrite the expression.
Step 4.2
Simplify the expression.
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Step 4.2.1
Move to the left of .
Step 4.2.2
Move the negative in front of the fraction.