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

The solution to (x-2sqrt(2))^2 is x^2-4sqrt(2)x+8

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

simplify

(x - 22)^{2}

x^{2} - 42 x + 8

Solution steps

(x - 22)^{2}

Apply Perfect Square Formula:

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

(x - 22)^{2} = x^{2} - 2 x \cdot 22 + (22)^{2}

= x^{2} - 2 x \cdot 22 + (22)^{2}

- 2 x \cdot 22 = - 42 x

(22)^{2} = 8

= x^{2} - 42 x + 8

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

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

(x - cos (y)) d x - sin (y) d y

(1 - tan (θ)) tan (2 θ)

- \frac{2 x ( - x ^{2} + 189 )}{( x ^{2} + 63 ) ^{3}}