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

The solution to (3sqrt(x)-1)^2 is 9x-6sqrt(x)+1

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

simplify

(3 x - 1)^{2}

9 x - 6 x + 1

Solution steps

(3 x - 1)^{2}

Apply Perfect Square Formula:

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

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

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

(3 x)^{2} = 9 x

- 2 \cdot 3 x \cdot 1 = - 6 x

1^{2} = 1

= 9 x - 6 x + 1

C (s + 1) (s - 1) (s + \frac{1}{2})

ln (93) (- x^{2} - 55 x - 156)

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

\frac{15}{( ( 5 k - 2 ) ( 5 k + 3 ) )}

\frac{3 ( x - 1 )}{( x + 1 )}