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

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

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expand (-xsin(x)+cos(x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

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

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

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

(8, - 5) y (- 3, 9)

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

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

(x - 6)^{4}

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