What is (sqrt(x)-sqrt(x+3))^2 ?

The solution to (sqrt(x)-sqrt(x+3))^2 is 2x-2sqrt(x)sqrt(x+3)+3

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simplify (sqrt(x)-sqrt(x+3))^2

simplify

(x - x + 3)^{2}

2 x - 2 x x + 3 + 3

Solution steps

(x - x + 3)^{2}

Apply Perfect Square Formula:

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

(x - x + 3)^{2} = (x)^{2} - 2 x x + 3 + (x + 3)^{2}

= (x)^{2} - 2 x x + 3 + (x + 3)^{2}

Simplify

(x)^{2} - 2 x x + 3 + (x + 3)^{2} : 2 x - 2 x x + 3 + 3

= 2 x - 2 x x + 3 + 3

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

\frac{d}{d θ} ((x (θ)) (r (θ) \cdot θ - r (θ) sin (θ)))

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

\frac{x ^{2}}{2 ( x - 7 ) ^{2}}

(0 - 0.5) (0 - 1) (0 - 1.5) (0 - 2)

What is (sqrt(x)-sqrt(x+3))^2 ?
The solution to (sqrt(x)-sqrt(x+3))^2 is 2x-2sqrt(x)sqrt(x+3)+3