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

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

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

simplify

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

- \frac{4 x y}{( x + y ) ( x - y )}

Solution steps

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

Least Common Multiplier of

x + y, x - y : (x + y) (x - y)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x - y)^{2} - (x + y)^{2} : - 4 x y

= \frac{- 4 x y}{( x + y ) ( x - y )}

Apply the fraction rule:

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

= - \frac{4 x y}{( x + y ) ( x - y )}

5 \frac{1}{4} \div \frac{5}{8}

lo g_{2} (4^{x})

2 \cdot + 3

(4 - 3 i) i

1 - x - 2

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