Simplify ((1+3a^-1)/(2-a^-1))((a^-2-2a^-1)/(3a^-3+a^-2))

Math
Simplify the numerator.
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Rewrite the expression using the negative exponent rule .
Combine and .
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Simplify the denominator.
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Rewrite the expression using the negative exponent rule .
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Multiply by .
Factor out of .
Factor out of .
Rewrite the expression using the negative exponent rule .
Simplify the denominator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite the expression using the negative exponent rule .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify.
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Factor out of .
Factor out of .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Multiply and .
Cancel the common factor of and .
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Reorder terms.
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
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Rewrite as .
Factor out of .
Factor out of .
Reorder terms.
Cancel the common factor.
Divide by .
Simplify the expression.
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Move to the left of .
Rewrite as .
Simplify ((1+3a^-1)/(2-a^-1))((a^-2-2a^-1)/(3a^-3+a^-2))

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