What is ((-3+sqrt(x))^2)/(6x-54) ?

The solution to ((-3+sqrt(x))^2)/(6x-54) is (9-6sqrt(x)+x)/(6x-54)

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simplify ((-3+sqrt(x))^2)/(6x-54)

simplify

\frac{( - 3 + x ) ^{2}}{6 x - 54}

\frac{9 - 6 x + x}{6 x - 54}

Solution steps

\frac{( - 3 + x ) ^{2}}{6 x - 54}

Apply Perfect Square Formula:

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

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

= \frac{( - 3 ) ^{2} + 2 ( - 3 ) x + ( x ) ^{2}}{6 x - 54}

Simplify

(- 3)^{2} + 2 (- 3) x + (x)^{2} : 9 - 6 x + x

= \frac{9 - 6 x + x}{6 x - 54}

(\frac{- 6}{5 m - 3 n})^{2}

\frac{14 x}{( x ^{2} - 9 ) ^{2}}

(0.9 a + 1.1 b + 1.1 c + \frac{4 d}{3})^{2}

s (s = 180 n - 360)

(3 t (x) - 5) x t^{'}

What is ((-3+sqrt(x))^2)/(6x-54) ?
The solution to ((-3+sqrt(x))^2)/(6x-54) is (9-6sqrt(x)+x)/(6x-54)