What is (3x^2-9x)/(x^2-9) ?

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

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simplify (3x^2-9x)/(x^2-9)

simplify

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

\frac{3 x}{x + 3}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 3

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

2 x + 7 x + x - 8 x

lo g_{20} (1)

4 x + 3 x

- 9 - 7

(- 2) (7)