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Popular >

simplify (sqrt(x)-1)^2

Solution

simplify

(x - 1)^{2}

Solution

x - 2 x + 1

Solution steps

(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

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Frequently Asked Questions (FAQ)

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