What is expand (3x-sqrt(9x^2-6x+3))(1/x) ?

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

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expand (3x-sqrt(9x^2-6x+3))(1/x)

expand

(3 x - 9 x^{2} - 6 x + 3) (\frac{1}{x})

3 - \frac{9 x ^{2} - 6 x + 3}{x}

Solution steps

(3 x - 9 x^{2} - 6 x + 3) (\frac{1}{x})

Apply rule:

(a) = a

(\frac{1}{x}) = \frac{1}{x}

= (3 x - 9 x^{2} - 6 x + 3) \frac{1}{x}

= \frac{1}{x} (3 x - 9 x^{2} - 6 x + 3)

Apply the distributive law:

a (b - c) = ab - a c

\frac{1}{x} (3 x - 9 x^{2} - 6 x + 3) = \frac{1}{x} \cdot 3 x - \frac{1}{x} 9 x^{2} - 6 x + 3

= \frac{1}{x} \cdot 3 x - \frac{1}{x} 9 x^{2} - 6 x + 3

Simplify

\frac{1}{x} \cdot 3 x - \frac{1}{x} 9 x^{2} - 6 x + 3 : 3 - \frac{9 x ^{2} - 6 x + 3}{x}

= 3 - \frac{9 x ^{2} - 6 x + 3}{x}

(c = \frac{- y}{x} + x^{2}) x

(- 2.5099 + 6.2121 i)^{5}

(5 p + q) (5 p - q)

U (1, 2) V (- 3, 4) W (- 1, - 2) U + V + W

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

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