What is (x^2-x-20)/(x^2+x-30) ?

The solution to (x^2-x-20)/(x^2+x-30) is (x+4)/(x+6)

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simplify (x^2-x-20)/(x^2+x-30)

simplify

\frac{x ^{2} - x - 20}{x ^{2} + x - 30}

\frac{x + 4}{x + 6}

Solution steps

\frac{x ^{2} - x - 20}{x ^{2} + x - 30}

Factor

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

= \frac{( x + 4 ) ( x - 5 )}{x ^{2} + x - 30}

Factor

x^{2} + x - 30 : (x - 5) (x + 6)

= \frac{( x + 4 ) ( x - 5 )}{( x - 5 ) ( x + 6 )}

Cancel the common factor:

x - 5

= \frac{x + 4}{x + 6}

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

\frac{15}{36}

\frac{18}{6}

\frac{4 x}{x}

- lo g_{10} (0.001)

What is (x^2-x-20)/(x^2+x-30) ?
The solution to (x^2-x-20)/(x^2+x-30) is (x+4)/(x+6)