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

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

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

factor

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

3 + x

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

9 - x

= 3 + x

\frac{3 + 3 x}{1 - x ^{2}}

5 sin^{2} (x) - 13 sin (x) - 6

3 2 + 42

x^{2} x + 6

\frac{x ^{2} + x}{x}

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