What is (sqrt(x)-1)(sqrt(x)-1) ?

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

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simplify (sqrt(x)-1)(sqrt(x)-1)

simplify

(x - 1) (x - 1)

x - 2 x + 1

Solution steps

(x - 1) (x - 1)

Apply exponent rule:

aa = a^{2}

(x - 1) (x - 1) = (x - 1)^{2}

= (x - 1)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

- 2 x \cdot 1 = - 2 x

1^{2} = 1

= x - 2 x + 1

- 11^{2}

\frac{e ^{1}}{e ^{- 1}}

64^{2}

(1 - 3 x)^{- 2}

2^{\frac{1}{5}} \cdot 1 6^{\frac{1}{5}}

What is (sqrt(x)-1)(sqrt(x)-1) ?
The solution to (sqrt(x)-1)(sqrt(x)-1) is x-2sqrt(x)+1