What is expand (x+y)sin(pi/(x+y)) ?

The solution to expand (x+y)sin(pi/(x+y)) is xsin(pi/(x+y))+ysin(pi/(x+y))

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expand (x+y)sin(pi/(x+y))

expand

(x + y) sin (\frac{π}{x + y})

x sin (\frac{π}{x + y}) + y sin (\frac{π}{x + y})

Solution steps

(x + y) sin (\frac{π}{x + y})

= sin (\frac{π}{x + y}) (x + y)

Apply the distributive law:

a (b + c) = ab + a c

a = sin (\frac{π}{x + y}), b = x, c = y

= sin (\frac{π}{x + y}) x + sin (\frac{π}{x + y}) y

= x sin (\frac{π}{x + y}) + y sin (\frac{π}{x + y})

(5 x^{4} - 6 x^{3} + x)^{5}

\frac{1}{s ^{2}} - \frac{e ^{- s}}{s ( 1 - e ^{- s} )}

(x + 10) (x - 10)

(1 + e^{t})^{2}

What is expand (x+y)sin(pi/(x+y)) ?
The solution to expand (x+y)sin(pi/(x+y)) is xsin(pi/(x+y))+ysin(pi/(x+y))