What is (x^2-8x+15)/(x^2-2x-3) ?

The solution to (x^2-8x+15)/(x^2-2x-3) is (x-5)/(x+1)

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simplify (x^2-8x+15)/(x^2-2x-3)

simplify

\frac{x ^{2} - 8 x + 15}{x ^{2} - 2 x - 3}

\frac{x - 5}{x + 1}

Solution steps

\frac{x ^{2} - 8 x + 15}{x ^{2} - 2 x - 3}

Factor

x^{2} - 8 x + 15 : (x - 3) (x - 5)

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

Factor

x^{2} - 2 x - 3 : (x + 1) (x - 3)

= \frac{( x - 3 ) ( x - 5 )}{( x + 1 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x - 5}{x + 1}

x + \frac{3}{x}

2^{2 x} + 2^{2 x}

(4 + 6 i) (9 - 2 i)

2 \frac{4}{6} \div \frac{4}{6}

2 s (2 s)

What is (x^2-8x+15)/(x^2-2x-3) ?
The solution to (x^2-8x+15)/(x^2-2x-3) is (x-5)/(x+1)