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

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

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

simplify

(x + ux + x - ux)^{2}

2 x + 2 x + ux x - ux

Solution steps

(x + ux + x - ux)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 2 x + 2 x + ux x - ux

(1 + cos (3 x))^{2}

(9 x - 11) lo g_{3} (11 x - 9)

\frac{( x + 4 ) ( x - 3 )}{( x - 2 ) ( x ^{2} + 2 )}

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

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

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