What is (3-xsqrt(2))^2 ?

The solution to (3-xsqrt(2))^2 is 9-6sqrt(2)x+2x^2

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simplify (3-xsqrt(2))^2

simplify

(3 - x 2)^{2}

9 - 62 x + 2 x^{2}

Solution steps

(3 - x 2)^{2}

Apply Perfect Square Formula:

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

(3 - x 2)^{2} = 3^{2} - 2 \cdot 3 x 2 + (x 2)^{2}

= 3^{2} - 2 \cdot 3 x 2 + (x 2)^{2}

3^{2} = 9

- 2 \cdot 3 x 2 = - 62 x

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

= 9 - 62 x + 2 x^{2}

\frac{d}{d x} ((2 x^{2} - 1) e^{- x^{2}}) + 4

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

(t cos (t)) \cdot (cos (t) - t sin (t))

(x - y = 3,) (x + 2 y = 6)

\frac{2 ( 3 x - 1 ) ( - 3 x ^{2} + 2 x + 9 )}{( x ^{2} + 3 ) ^{3}}