What is 4/(x^2)+2/x-3/(y^2) ?

The solution to 4/(x^2)+2/x-3/(y^2) is (4y^2+2xy^2-3x^2)/(x^2y^2)

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simplify 4/(x^2)+2/x-3/(y^2)

simplify

\frac{4}{x ^{2}} + \frac{2}{x} - \frac{3}{y ^{2}}

\frac{4 y ^{2} + 2 x y ^{2} - 3 x ^{2}}{x ^{2} y ^{2}}

Solution steps

\frac{4}{x ^{2}} + \frac{2}{x} - \frac{3}{y ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{4 y ^{2}}{x ^{2} y ^{2}} + \frac{2 x y ^{2}}{x ^{2} y ^{2}} - \frac{3 x ^{2}}{x ^{2} y ^{2}}

Apply the fraction rule:

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

= \frac{4 y ^{2} + 2 x y ^{2} - 3 x ^{2}}{x ^{2} y ^{2}}

(4) \cdot x^{2} - x + 12

(2 x - 3)^{3} + (8 x + 1) (4 - x^{2}) - (x + 2)^{2}

(2 x + 3 y - 5) (x - y + 3)

\frac{( x _{1} + x _{2} )}{( x _{1} \cdot x _{2} )}

(2 a + 3 b)^{3} - (2 a - 3 b)^{3}

What is 4/(x^2)+2/x-3/(y^2) ?
The solution to 4/(x^2)+2/x-3/(y^2) is (4y^2+2xy^2-3x^2)/(x^2y^2)