What is (3x^2-15x+18)/(3x-9) ?

The solution to (3x^2-15x+18)/(3x-9) is x-2

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simplify (3x^2-15x+18)/(3x-9)

simplify

\frac{3 x ^{2} - 15 x + 18}{3 x - 9}

x - 2

Solution steps

\frac{3 x ^{2} - 15 x + 18}{3 x - 9}

Factor

3 x^{2} - 15 x + 18 : 3 (x - 2) (x - 3)

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

Factor

3 x - 9 : 3 (x - 3)

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

Cancel the common factor:

3

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

Cancel the common factor:

x - 3

= x - 2

433

(2 x - 7)^{2} + 8

3 (x^{2} + 7)

3 w^{2} (w - 2) + 5 (w - 2)

2 (x - 7) - 3 (x + 5) + 2 x