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

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

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expand sin(x)(sin(x)+sin(x)cos(x)-y)

expand

sin (x) (sin (x) + sin (x) cos (x) - y)

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

Solution steps

sin (x) (sin (x) + sin (x) cos (x) - y)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

sin (x) (sin (x) + sin (x) cos (x) - y) = sin (x) sin (x) + sin (x) sin (x) cos (x) + sin (x) (- y)

= sin (x) sin (x) + sin (x) sin (x) cos (x) + sin (x) (- y)

Simplify

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

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

\frac{x ^{3} + 3}{( x + 2 ) ( 2 x - 1 )}

- \frac{x + 8}{3 x ( x - 8 )}

\frac{40 s}{( s ^{2} + 4 ) ( s ^{2} + s + 5 )}

\frac{( sin ( t ) ) ^{2} + cos ( 2 t ) ( sin ( t ) ) ^{2}}{cos ( t )}

t (x) x^{^{''}} + (3 t (x) - 4) x^{^{'}} + 3 x

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