What is (sqrt(x-2)-sqrt(x-5))^2 ?

The solution to (sqrt(x-2)-sqrt(x-5))^2 is 2x-2sqrt(x-2)sqrt(x-5)-7

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simplify (sqrt(x-2)-sqrt(x-5))^2

simplify

(x - 2 - x - 5)^{2}

2 x - 2 x - 2 x - 5 - 7

Solution steps

(x - 2 - x - 5)^{2}

Apply Perfect Square Formula:

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

(x - 2 - x - 5)^{2} = (x - 2)^{2} - 2 x - 2 x - 5 + (x - 5)^{2}

= (x - 2)^{2} - 2 x - 2 x - 5 + (x - 5)^{2}

Simplify

(x - 2)^{2} - 2 x - 2 x - 5 + (x - 5)^{2} : 2 x - 2 x - 2 x - 5 - 7

= 2 x - 2 x - 2 x - 5 - 7

(x + \frac{2}{x})^{4}

y^{'} (x) - (x - 1) y^{2} + (1 - 2 x) y + x

\frac{x ^{2} + x - 25}{( x + 1 ) ^{2} ( x ^{2} + 4 )}

lo g_{10} (8) x^{3}

4 (sin (\frac{19 π}{90}) + cos (\frac{17 π}{45})) e c^{8}

What is (sqrt(x-2)-sqrt(x-5))^2 ?
The solution to (sqrt(x-2)-sqrt(x-5))^2 is 2x-2sqrt(x-2)sqrt(x-5)-7