What is (sqrt(x-1)-sqrt(2x-3))^2 ?

The solution to (sqrt(x-1)-sqrt(2x-3))^2 is 3x-2sqrt(x-1)sqrt(2x-3)-4

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simplify (sqrt(x-1)-sqrt(2x-3))^2

simplify

(x - 1 - 2 x - 3)^{2}

3 x - 2 x - 1 2 x - 3 - 4

Solution steps

(x - 1 - 2 x - 3)^{2}

Apply Perfect Square Formula:

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

(x - 1 - 2 x - 3)^{2} = (x - 1)^{2} - 2 x - 1 2 x - 3 + (2 x - 3)^{2}

= (x - 1)^{2} - 2 x - 1 2 x - 3 + (2 x - 3)^{2}

Simplify

(x - 1)^{2} - 2 x - 1 2 x - 3 + (2 x - 3)^{2} : 3 x - 2 x - 1 2 x - 3 - 4

= 3 x - 2 x - 1 2 x - 3 - 4

\frac{y ( 1 - x )}{x ( 2 y - 1 )}

[e^{(- 4 t)} U (t - 3)]

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

\frac{1}{2} + \frac{3}{32} (4 (0.4) - \frac{( 0.4 ) ^{3}}{3})

What is (sqrt(x-1)-sqrt(2x-3))^2 ?
The solution to (sqrt(x-1)-sqrt(2x-3))^2 is 3x-2sqrt(x-1)sqrt(2x-3)-4