What is (x^2-2x-15)/(x^2-13x+40) ?

The solution to (x^2-2x-15)/(x^2-13x+40) is (x+3)/(x-8)

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simplify (x^2-2x-15)/(x^2-13x+40)

simplify

\frac{x ^{2} - 2 x - 15}{x ^{2} - 13 x + 40}

\frac{x + 3}{x - 8}

Solution steps

\frac{x ^{2} - 2 x - 15}{x ^{2} - 13 x + 40}

Factor

x^{2} - 2 x - 15 : (x + 3) (x - 5)

= \frac{( x + 3 ) ( x - 5 )}{x ^{2} - 13 x + 40}

Factor

x^{2} - 13 x + 40 : (x - 5) (x - 8)

= \frac{( x + 3 ) ( x - 5 )}{( x - 5 ) ( x - 8 )}

Cancel the common factor:

x - 5

= \frac{x + 3}{x - 8}

x^{2} - 5 x - 104

lo g_{10} (1 0^{1})

\frac{y ^{2} - 9 y + 20}{25 - y ^{2}} \cdot \frac{y ^{2} + 5 y}{y ^{2} - 4 y}

(2 x - 6)^{2} - 2 x - 6 - 10

\frac{3 ( u ^{4} ) ^{3}}{6 u ^{5}}

What is (x^2-2x-15)/(x^2-13x+40) ?
The solution to (x^2-2x-15)/(x^2-13x+40) is (x+3)/(x-8)