What is (sqrt(x-13)-sqrt(x))^2 ?

The solution to (sqrt(x-13)-sqrt(x))^2 is 2x-2sqrt(x)sqrt(x-13)-13

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simplify (sqrt(x-13)-sqrt(x))^2

simplify

(x - 13 - x)^{2}

2 x - 2 x x - 13 - 13

Solution steps

(x - 13 - x)^{2}

Apply Perfect Square Formula:

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

(x - 13 - x)^{2} = (x - 13)^{2} - 2 x - 13 x + (x)^{2}

= (x - 13)^{2} - 2 x - 13 x + (x)^{2}

Simplify

(x - 13)^{2} - 2 x - 13 x + (x)^{2} : 2 x - 2 x x - 13 - 13

= 2 x - 2 x x - 13 - 13

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\frac{7 x ( x + 2 )}{3 y ^{2} ( 2 x + 1 )}

2 l e f t (3 c + 5) - 4 c

What is (sqrt(x-13)-sqrt(x))^2 ?
The solution to (sqrt(x-13)-sqrt(x))^2 is 2x-2sqrt(x)sqrt(x-13)-13