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

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

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

simplify

(2 x - 3) (2 x - 3)

2 x - 26 x + 3

Solution steps

(2 x - 3) (2 x - 3)

Apply exponent rule:

aa = a^{2}

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

= (2 x - 3)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 2 x

- 2 2 x 3 = - 23 2 x

(3)^{2} = 3

= 2 x - 23 2 x + 3

23 2 x = 26 x

= 2 x - 26 x + 3

(18)^{5}

- 49^{2}

36 r^{8}

1 - x^{2}^{2}

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