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

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

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

simplify

(2 x - 2)^{2}

4 x - 42 x + 2

Solution steps

(2 x - 2)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x

- 2 \cdot 2 x 2 = - 42 x

(2)^{2} = 2

= 4 x - 42 x + 2

(3 - 2 i)^{6}

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

(1 + cos (x)) (csc (x) - cot (x)) csc (x)

\frac{1}{( x ^{2} - 1 ) ^{2}}

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