What is (sqrt(u)-sqrt(v))^2 ?

The solution to (sqrt(u)-sqrt(v))^2 is u-2sqrt(u)sqrt(v)+v

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simplify (sqrt(u)-sqrt(v))^2

simplify

(u - v)^{2}

u - 2 u v + v

Solution steps

(u - v)^{2}

Apply Perfect Square Formula:

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

(u - v)^{2} = (u)^{2} - 2 u v + (v)^{2}

= (u)^{2} - 2 u v + (v)^{2}

(u)^{2} = u

(v)^{2} = v

= u - 2 u v + v

\frac{2 s - 2}{s ^{2} ( s + 1 ) ^{3}}

\frac{1}{( s + 1 ) ( 2 s ^{3} + 3 s ^{2} - 3 s - 2 )}

x^{2} (ln (x + 10) - 1)

1.60799 \cdot 1 0^{13}

(n - \frac{1}{n})^{3}

What is (sqrt(u)-sqrt(v))^2 ?
The solution to (sqrt(u)-sqrt(v))^2 is u-2sqrt(u)sqrt(v)+v