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A Simplify [3/x-15/2y]+6/xy. ​

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Hello!

Answer:


\Large \boxed{\sf (6y-15x+12)/(2xy)}

Explanation:

We want to simplify:


\sf (~(3)/(x) -(15)/(2y)~ ) +(6)/(xy)

Remove parentheses:


\sf (3)/(x) -(15)/(2y) +(6)/(xy)

Find the common denominator:


\sf (3(2y))/(x(2y)) -(15(x))/(2y(x)) +(6(2))/(xy(2))

Simplify the expression:


\sf (6y)/(2xy) -(15x)/(2xy) +(12)/(2xy)

Group fractions with the same denominator:


\boxed{\sf (6y-15x+12)/(2xy)}

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