What is (-sqrt(2)-cos(x))^2 ?

The solution to (-sqrt(2)-cos(x))^2 is 2+2sqrt(2)cos(x)+cos^2(x)

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simplify (-sqrt(2)-cos(x))^2

simplify

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

2 + 22 cos (x) + cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

(- 2)^{2} = 2

- 2 (- 2) cos (x) = 22 cos (x)

= 2 + 22 cos (x) + cos^{2} (x)

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

(- 1 + \frac{i}{n})^{2}

sin (t - 2) u (t - 2)

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

(- 4 x^{\frac{5}{3}} - 2) (5 x^{4} - 10 x)

What is (-sqrt(2)-cos(x))^2 ?
The solution to (-sqrt(2)-cos(x))^2 is 2+2sqrt(2)cos(x)+cos^2(x)