What is expand (cos(2x)-1)(x+arcsin^2(x)) ?

The solution to expand (cos(2x)-1)(x+arcsin^2(x)) is xcos(2x)+arcsin^2(x)cos(2x)-x-arcsin^2(x)

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expand (cos(2x)-1)(x+arcsin^2(x))

expand

(cos (2 x) - 1) (x + arcsin^{2} (x))

x cos (2 x) + arcsin^{2} (x) cos (2 x) - x - arcsin^{2} (x)

Solution steps

(cos (2 x) - 1) (x + arcsin^{2} (x))

Apply FOIL method

(cos (2 x) - 1) (x + arcsin^{2} (x)) : x cos (2 x) + arcsin^{2} (x) cos (2 x) - x - arcsin^{2} (x)

= x cos (2 x) + arcsin^{2} (x) cos (2 x) - x - arcsin^{2} (x)

\frac{( y ^{2} + 1 ) ( y ^{4} - y ^{2} + 1 )}{2 y ^{3}}

- \frac{120}{( 3 - 1 ) ^{6}} - cos (3 - 1)

(3 tan^{2} (x) - 1) (tan^{2} (x) - 3)

(x - 2 i) (x + 2 i)

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

What is expand (cos(2x)-1)(x+arcsin^2(x)) ?
The solution to expand (cos(2x)-1)(x+arcsin^2(x)) is xcos(2x)+arcsin^2(x)cos(2x)-x-arcsin^2(x)