What is expand (sin^2(x^2-4)*cos(x+2))*(x-2) ?

The solution to expand (sin^2(x^2-4)*cos(x+2))*(x-2) is xsin^2(x^2-4)cos(x+2)-2sin^2(x^2-4)cos(x+2)

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expand (sin^2(x^2-4)cos(x+2))(x-2)

expand

(sin^{2} (x^{2} - 4) \cdot cos (x + 2)) \cdot (x - 2)

x sin^{2} (x^{2} - 4) cos (x + 2) - 2 sin^{2} (x^{2} - 4) cos (x + 2)

Solution steps

(sin^{2} (x^{2} - 4) cos (x + 2)) (x - 2)

Apply the distributive law:

a (b - c) = ab - a c

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

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

= x sin^{2} (x^{2} - 4) cos (x + 2) - 2 sin^{2} (x^{2} - 4) cos (x + 2)

\frac{5 x ^{2} + 6 x + 9}{( x - 3 ) ^{2} ( x + 1 ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) ((4 x^{2} - 1)^{2}))

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

4 π (\frac{125 - 21 21}{3} - 221)

(1 - \frac{1}{x}) (1 - \frac{2}{x + 2}) (1 - \frac{3}{x + 5}) (1 - \frac{4}{x + 9})

What is expand (sin^2(x^2-4)*cos(x+2))*(x-2) ?
The solution to expand (sin^2(x^2-4)*cos(x+2))*(x-2) is xsin^2(x^2-4)cos(x+2)-2sin^2(x^2-4)cos(x+2)