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

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

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

simplify

(22 - x)^{2}

8 - 42 x + x^{2}

Solution steps

(22 - x)^{2}

Apply Perfect Square Formula:

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

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

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

(22)^{2} = 8

- 2 \cdot 22 x = - 42 x

= 8 - 42 x + x^{2}

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

(z + \frac{2}{3})^{4}

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

(1 + i t)^{2}

e^{3 x} \cdot (3 x^{2} y + 2 x y + y^{3})