What is (xy-y)/(x-2)-y/(x+2) ?

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

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simplify (xy-y)/(x-2)-y/(x+2)

simplify

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

\frac{x ^{2} y}{( x - 2 ) ( x + 2 )}

Solution steps

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

Least Common Multiplier of

x - 2, x + 2 : (x - 2) (x + 2)

Adjust Fractions based on the LCM

= \frac{( x y - y ) ( x + 2 )}{( x - 2 ) ( x + 2 )} - \frac{y ( x - 2 )}{( x - 2 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{( x y - y ) ( x + 2 ) - y ( x - 2 )}{( x - 2 ) ( x + 2 )}

Simplify

(x y - y) (x + 2) - y (x - 2) : x^{2} y

= \frac{x ^{2} y}{( x - 2 ) ( x + 2 )}

y^{2} - 90 = 13 y

∣ x - 2 ∣ < 9

3 x^{2} + 17 x - 6 = 0

\frac{80 \cdot 20}{100}

i + 6 i

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