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Popular >

expand (x^{1/2}-1)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

2 x^{\frac{1}{2}} \cdot 1 = 2 x^{\frac{1}{2}}

1^{2} = 1

= x - 2 x^{\frac{1}{2}} + 1

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Frequently Asked Questions (FAQ)

What is expand (x^{1/2}-1)^2 ?
The solution to expand (x^{1/2}-1)^2 is x-2x^{1/2}+1