SOLUTION: Hello, good morning. I need help with this math problem. It says: "Simplify: [(2x^-1)+(3y^-1)]/[(9x^2)-(4y^2)]" Could you explain it to me step by step? Thank you in advance.

Question 944523: Hello, good morning. I need help with this math problem.
It says: "Simplify: [(2x^-1)+(3y^-1)]/[(9x^2)-(4y^2)]"
Could you explain it to me step by step?
Thank you in advance.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
[(2x^-1)+(3y^-1)]/[(9x^2)-(4y^2)]
((2x^-1)+(3y^-1))/((9x^2)-(4y^2))

, note an oppurtunity for commutative property of equality in the numerator.

, a complex fraction still, and you can multiply by to get...

, and to finish actually "simplifying", do the multiplication indicated in the denominator.

Other than those, the sequence of steps to take are understandable and should not need explanation for which to choose in sequence.
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