What is (sqrt(x+2)+sqrt(3x-6))^2 ?

The solution to (sqrt(x+2)+sqrt(3x-6))^2 is 4x+2sqrt(x+2)sqrt(3x-6)-4

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simplify (sqrt(x+2)+sqrt(3x-6))^2

simplify

(x + 2 + 3 x - 6)^{2}

4 x + 2 x + 2 3 x - 6 - 4

Solution steps

(x + 2 + 3 x - 6)^{2}

Apply Perfect Square Formula:

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

(x + 2 + 3 x - 6)^{2} = (x + 2)^{2} + 2 x + 2 3 x - 6 + (3 x - 6)^{2}

= (x + 2)^{2} + 2 x + 2 3 x - 6 + (3 x - 6)^{2}

Simplify

(x + 2)^{2} + 2 x + 2 3 x - 6 + (3 x - 6)^{2} : 4 x + 2 x + 2 3 x - 6 - 4

= 4 x + 2 x + 2 3 x - 6 - 4

(z + \frac{1}{2}) \cdot (z - 1)

\frac{tan ( \frac{180 - θ}{2} ) ( t - 2 w )}{2}

(1 - cos (x)) (x - sin (x))

\frac{2 x ^{3} - 36 x ^{2} + 432 x - 3240}{x ( x - 12 )}

\frac{4 s - 10}{( s - 3 ) ( s - 2 ) ( s - 1 )}

What is (sqrt(x+2)+sqrt(3x-6))^2 ?
The solution to (sqrt(x+2)+sqrt(3x-6))^2 is 4x+2sqrt(x+2)sqrt(3x-6)-4