What is 1/x+3/y-y/(x^2) ?

The solution to 1/x+3/y-y/(x^2) is (xy+3x^2-y^2)/(x^2y)

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simplify 1/x+3/y-y/(x^2)

simplify

\frac{1}{x} + \frac{3}{y} - \frac{y}{x ^{2}}

\frac{x y + 3 x ^{2} - y ^{2}}{x ^{2} y}

Solution steps

\frac{1}{x} + \frac{3}{y} - \frac{y}{x ^{2}}

Least Common Multiplier of

x, y, x^{2} : x^{2} y

Adjust Fractions based on the LCM

= \frac{x y}{x ^{2} y} + \frac{3 x ^{2}}{x ^{2} y} - \frac{y ^{2}}{x ^{2} y}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{x y + 3 x ^{2} - y ^{2}}{x ^{2} y}

π \times 8^{2}

2 x^{7} y^{3} \cdot 7 x^{5} y^{4}

5 x^{2} - 10 x + 3 x - 6

x + \frac{6}{x}

sin (3 x) sin (3 x)

What is 1/x+3/y-y/(x^2) ?
The solution to 1/x+3/y-y/(x^2) is (xy+3x^2-y^2)/(x^2y)