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

The solution to (3sqrt(x)-sqrt(3))^2 is 9x-6sqrt(3)sqrt(x)+3

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

simplify

(3 x - 3)^{2}

9 x - 63 x + 3

Solution steps

(3 x - 3)^{2}

Apply Perfect Square Formula:

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

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

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

(3 x)^{2} = 9 x

- 2 \cdot 3 x 3 = - 63 x

(3)^{2} = 3

= 9 x - 63 x + 3

(w - \frac{5}{7}) (w + \frac{5}{7})

\frac{x + 18}{x ( x + 3 ) ( x + 15 ) ( x + 20 )}

\frac{20 ( s + 1.5 )}{s ^{3} + 10.5 s ^{2} + 25 s + 30}

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

- (x^{4} + x^{3} - 6 x^{2} - 4 x + 8 = 0)

What is (3sqrt(x)-sqrt(3))^2 ?
The solution to (3sqrt(x)-sqrt(3))^2 is 9x-6sqrt(3)sqrt(x)+3