What is (sqrt(x-1)-a)^2 ?

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

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simplify (sqrt(x-1)-a)^2

simplify

(x - 1 - a)^{2}

x - 1 - 2 a x - 1 + a^{2}

Solution steps

(x - 1 - a)^{2}

Apply Perfect Square Formula:

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

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

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

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

- 2 x - 1 a = - 2 a x - 1

= x - 1 - 2 a x - 1 + a^{2}

(e^{5 x} + e^{7 x}) (e^{8 x} - e^{- x})

- \frac{1}{s ( s + 5 )}

(x - 1 + 2)^{2}

(0.34 arcsin (\frac{- x + 3.14}{1.35}) + 2.38)^{2}

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

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