What is (x^2-9x+20)/(x^2+x-20) ?

The solution to (x^2-9x+20)/(x^2+x-20) is (x-5)/(x+5)

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simplify (x^2-9x+20)/(x^2+x-20)

simplify

\frac{x ^{2} - 9 x + 20}{x ^{2} + x - 20}

\frac{x - 5}{x + 5}

Solution steps

\frac{x ^{2} - 9 x + 20}{x ^{2} + x - 20}

Factor

x^{2} - 9 x + 20 : (x - 4) (x - 5)

= \frac{( x - 4 ) ( x - 5 )}{x ^{2} + x - 20}

Factor

x^{2} + x - 20 : (x - 4) (x + 5)

= \frac{( x - 4 ) ( x - 5 )}{( x - 4 ) ( x + 5 )}

Cancel the common factor:

x - 4

= \frac{x - 5}{x + 5}

27 - 7 (x - 4) + 4 (2 x - 3)

10 (0.8)^{10}

(x - 2)^{2} + 9 (x - 2) + 5

9 x^{5} y^{2} + 12 x^{3} y^{5}

\frac{42}{66}

What is (x^2-9x+20)/(x^2+x-20) ?
The solution to (x^2-9x+20)/(x^2+x-20) is (x-5)/(x+5)