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Popular >

simplify (sqrt(u)-1)^2

Solution

simplify

(u - 1)^{2}

Solution

u - 2 u + 1

Solution steps

(u - 1)^{2}

Apply Perfect Square Formula:

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

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

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

(u)^{2} = u

- 2 u \cdot 1 = - 2 u

1^{2} = 1

= u - 2 u + 1

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Frequently Asked Questions (FAQ)

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