What is expand (2x^6-4x^2)sin^2(x) ?

The solution to expand (2x^6-4x^2)sin^2(x) is 2sin^2(x)x^6-4sin^2(x)x^2

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expand (2x^6-4x^2)sin^2(x)

expand

(2 x^{6} - 4 x^{2}) sin^{2} (x)

2 sin^{2} (x) x^{6} - 4 sin^{2} (x) x^{2}

Solution steps

(2 x^{6} - 4 x^{2}) sin^{2} (x)

= sin^{2} (x) (2 x^{6} - 4 x^{2})

Apply the distributive law:

a (b - c) = ab - a c

sin^{2} (x) (2 x^{6} - 4 x^{2}) = sin^{2} (x) \cdot 2 x^{6} - sin^{2} (x) \cdot 4 x^{2}

= sin^{2} (x) \cdot 2 x^{6} - sin^{2} (x) \cdot 4 x^{2}

= 2 sin^{2} (x) x^{6} - 4 sin^{2} (x) x^{2}

i (2 + 3 i) (c + d i)

(64 t^{3} - 128 t^{2} + 64 t) \cdot 42

2 (2 y^{2} + \frac{2}{y ^{2}} + c)

\frac{( x - 9 y ) ( x - 5 y )}{2 ( x + y )}

(4 x - 5) (6 x + 4)

What is expand (2x^6-4x^2)sin^2(x) ?
The solution to expand (2x^6-4x^2)sin^2(x) is 2sin^2(x)x^6-4sin^2(x)x^2