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

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

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expand (sin(x)-cos(x))sin(x)

expand

(sin (x) - cos (x)) sin (x)

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

Solution steps

(sin (x) - cos (x)) sin (x)

= sin (x) (sin (x) - cos (x))

Apply the distributive law:

a (b - c) = ab - a c

sin (x) (sin (x) - cos (x)) = sin (x) sin (x) - sin (x) cos (x)

= sin (x) sin (x) - sin (x) cos (x)

Simplify

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

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

\frac{( x + 3 ) ( x + 5 )}{x + 2}

(x lo g_{10} (x) - x) (\frac{1}{4 x ^{2}} - \frac{x}{4})

\frac{\partial}{\partial v} ((z) (2 u^{2} + 2 v^{2})^{2})

x - 2 \cdot (x^{2} - 2)

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