What is (sqrt(p-1)-sqrt(p))^2 ?

The solution to (sqrt(p-1)-sqrt(p))^2 is 2p-2sqrt(p)sqrt(p-1)-1

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simplify (sqrt(p-1)-sqrt(p))^2

simplify

(p - 1 - p)^{2}

2 p - 2 p p - 1 - 1

Solution steps

(p - 1 - p)^{2}

Apply Perfect Square Formula:

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

(p - 1 - p)^{2} = (p - 1)^{2} - 2 p - 1 p + (p)^{2}

= (p - 1)^{2} - 2 p - 1 p + (p)^{2}

Simplify

(p - 1)^{2} - 2 p - 1 p + (p)^{2} : 2 p - 2 p p - 1 - 1

= 2 p - 2 p p - 1 - 1

(a + b 3) (c + d 3)

(2 e^{y} + 3 x sin (y)) d x + (x e^{y} + x^{2} cos (x)) d y

h (1 - 4 + 2 h)

(- (2 t^{2} - 4 t + 2)^{2}, t^{2}) \cdot (1, 4 t - 4)

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