What is expand sin(x)(1-sin(x)) ?

The solution to expand sin(x)(1-sin(x)) is sin(x)-sin^2(x)

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expand sin(x)(1-sin(x))

expand

sin (x) (1 - sin (x))

sin (x) - sin^{2} (x)

Solution steps

sin (x) (1 - sin (x))

Apply the distributive law:

a (b - c) = ab - a c

sin (x) (1 - sin (x)) = sin (x) \cdot 1 - sin (x) sin (x)

= sin (x) \cdot 1 - sin (x) sin (x)

Simplify

sin (x) \cdot 1 - sin (x) sin (x) : sin (x) - sin^{2} (x)

= sin (x) - sin^{2} (x)

\frac{e ^{- 7 s}}{( s - 3 ) ( s - 1 )}

x (5 - x)

\frac{x ^{2} - 2 x + 2}{( x - 1 ) ^{2}}

\frac{4}{s ( s ^{2} + 4 )}

- 2 (1 + 2 - 1)

What is expand sin(x)(1-sin(x)) ?
The solution to expand sin(x)(1-sin(x)) is sin(x)-sin^2(x)