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

The solution to t/(y-t)-y/(y+t) is (t^2+2ty-y^2)/((y-t)(t+y))

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simplify t/(y-t)-y/(y+t)

simplify

\frac{t}{y - t} - \frac{y}{y + t}

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

Solution steps

\frac{t}{y - t} - \frac{y}{y + t}

Least Common Multiplier of

y - t, y + t : (y - t) (t + y)

Adjust Fractions based on the LCM

= \frac{t ( t + y )}{( y - t ) ( t + y )} - \frac{y ( y - t )}{( y - t ) ( t + y )}

Apply the fraction rule:

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

= \frac{t ( t + y ) - y ( y - t )}{( y - t ) ( t + y )}

Simplify

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

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

(i 2 - 1) (2 i 2 + 3)

∣ - 2 x ∣ = 4

\frac{x ^{2}}{x ^{- 2}}

5 x - 12 = 2 x + 24

\frac{1}{8} + c = \frac{4}{5}

What is t/(y-t)-y/(y+t) ?
The solution to t/(y-t)-y/(y+t) is (t^2+2ty-y^2)/((y-t)(t+y))