What is (sqrt(4x-3)-sqrt(3x-2))^2 ?

The solution to (sqrt(4x-3)-sqrt(3x-2))^2 is 7x-2sqrt(4x-3)sqrt(3x-2)-5

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simplify (sqrt(4x-3)-sqrt(3x-2))^2

simplify

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

7 x - 2 4 x - 3 3 x - 2 - 5

Solution steps

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

Apply Perfect Square Formula:

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

(4 x - 3 - 3 x - 2)^{2} = (4 x - 3)^{2} - 2 4 x - 3 3 x - 2 + (3 x - 2)^{2}

= (4 x - 3)^{2} - 2 4 x - 3 3 x - 2 + (3 x - 2)^{2}

Simplify

(4 x - 3)^{2} - 2 4 x - 3 3 x - 2 + (3 x - 2)^{2} : 7 x - 2 4 x - 3 3 x - 2 - 5

= 7 x - 2 4 x - 3 3 x - 2 - 5

(625 ln (5)) (x - 4) + 625

(x - \frac{2}{5})^{2}

- (t + \frac{1}{3}) e^{- 3 t} + C

- 6 (2 A x^{2} e^{- x} + B x e^{- x})

tanh (\frac{k ( t - a )}{2})

What is (sqrt(4x-3)-sqrt(3x-2))^2 ?
The solution to (sqrt(4x-3)-sqrt(3x-2))^2 is 7x-2sqrt(4x-3)sqrt(3x-2)-5