What is (1-xsqrt(2))^2 ?

The solution to (1-xsqrt(2))^2 is 1-2sqrt(2)x+2x^2

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simplify (1-xsqrt(2))^2

simplify

(1 - x 2)^{2}

1 - 22 x + 2 x^{2}

Solution steps

(1 - x 2)^{2}

Apply Perfect Square Formula:

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

(1 - x 2)^{2} = 1^{2} - 2 \cdot 1 \cdot x 2 + (x 2)^{2}

= 1^{2} - 2 \cdot 1 \cdot x 2 + (x 2)^{2}

1^{2} = 1

- 2 \cdot 1 \cdot x 2 = - 22 x

(x 2)^{2} = 2 x^{2}

= 1 - 22 x + 2 x^{2}

(x + i y) cos (x + i y)

7 (3 x + 2 y = - 7)

3 (sin (2 x) cos (x) - sin^{3} (x))

3 (2 x - 1) d x

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