What is (x^2+x-6)/(x^2-6x+8) ?

The solution to (x^2+x-6)/(x^2-6x+8) is (x+3)/(x-4)

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simplify (x^2+x-6)/(x^2-6x+8)

simplify

\frac{x ^{2} + x - 6}{x ^{2} - 6 x + 8}

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

Solution steps

\frac{x ^{2} + x - 6}{x ^{2} - 6 x + 8}

Factor

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

= \frac{( x - 2 ) ( x + 3 )}{x ^{2} - 6 x + 8}

Factor

x^{2} - 6 x + 8 : (x - 2) (x - 4)

= \frac{( x - 2 ) ( x + 3 )}{( x - 2 ) ( x - 4 )}

Cancel the common factor:

x - 2

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

- 625

\frac{43}{5}

- 500

5 24 x^{3} y^{7}

(- 3 x^{5} y) (- 4 x^{9} y^{2})

What is (x^2+x-6)/(x^2-6x+8) ?
The solution to (x^2+x-6)/(x^2-6x+8) is (x+3)/(x-4)