What is (2x^2-18)/(x^2-6x+9) ?

The solution to (2x^2-18)/(x^2-6x+9) is (2(x+3))/(x-3)

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simplify (2x^2-18)/(x^2-6x+9)

simplify

\frac{2 x ^{2} - 18}{x ^{2} - 6 x + 9}

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

Solution steps

\frac{2 x ^{2} - 18}{x ^{2} - 6 x + 9}

Factor

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

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

Factor

x^{2} - 6 x + 9 : (x - 3)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - 3)^{2} = (x - 3) (x - 3)

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

Cancel the common factor:

x - 3

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

\frac{\frac{x}{x - 2}}{\frac{3 x}{x + 4}}

8 - 5 (4 p + 3)

\frac{x ^{\frac{1}{2}}}{x ^{4}}

- 2 x^{2} + 8 x - 8

\frac{42}{36}

What is (2x^2-18)/(x^2-6x+9) ?
The solution to (2x^2-18)/(x^2-6x+9) is (2(x+3))/(x-3)