What is factor (x-9)/(sqrt(x)-3) ?

The solution to factor (x-9)/(sqrt(x)-3) is sqrt(x)+3

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factor (x-9)/(sqrt(x)-3)

factor

\frac{x - 9}{x - 3}

x + 3

Solution steps

\frac{x - 9}{x - 3}

Multiply by the conjugate

\frac{x + 3}{x + 3}

= \frac{( x - 9 ) ( x + 3 )}{( x - 3 ) ( x + 3 )}

(x - 3) (x + 3) = x - 9

= \frac{( x - 9 ) ( x + 3 )}{x - 9}

Cancel the common factor:

x - 9

= x + 3

\frac{2 - x}{x ^{2} - 4}

x^{3} y^{6} + z^{3}

2 x^{2} - 5 x y + 4 a x - 10 a y

\infty ln (\infty) - \infty

[3.4]

What is factor (x-9)/(sqrt(x)-3) ?
The solution to factor (x-9)/(sqrt(x)-3) is sqrt(x)+3