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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

- 2 (sin (x) - cos (x)) = - 2 sin (x) - (- 2) cos (x)

= 2 sin^{2} (x) - 2 sin (x) - (- 2) cos (x) + 1

Simplify

- (- 2) cos (x) : 2 cos (x)

= 2 sin^{2} (x) - 2 sin (x) + 2 cos (x) + 1

(49 a^{2}) (- 7 a^{9})

3 x (2 x + 18)

(x - 2 y)^{3} + 1

9 c (c)

x^{3} + x^{- 3}

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