What is (x^2+5x-6)/(x^2-10x+9) ?

The solution to (x^2+5x-6)/(x^2-10x+9) is (x+6)/(x-9)

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simplify (x^2+5x-6)/(x^2-10x+9)

simplify

\frac{x ^{2} + 5 x - 6}{x ^{2} - 10 x + 9}

\frac{x + 6}{x - 9}

Solution steps

\frac{x ^{2} + 5 x - 6}{x ^{2} - 10 x + 9}

Factor

x^{2} + 5 x - 6 : (x - 1) (x + 6)

= \frac{( x - 1 ) ( x + 6 )}{x ^{2} - 10 x + 9}

Factor

x^{2} - 10 x + 9 : (x - 1) (x - 9)

= \frac{( x - 1 ) ( x + 6 )}{( x - 1 ) ( x - 9 )}

Cancel the common factor:

x - 1

= \frac{x + 6}{x - 9}

\frac{1}{5} - 3

4 x - 4 x^{3}

∣ 2 + 4 i ∣

- 3 x^{2} - x^{2}

2 x^{2} (- 3 x^{3} + 2 x^{2} - 6 x + 4)

What is (x^2+5x-6)/(x^2-10x+9) ?
The solution to (x^2+5x-6)/(x^2-10x+9) is (x+6)/(x-9)