What is (x^2-3x-10)/(x^2-7x+10) ?

The solution to (x^2-3x-10)/(x^2-7x+10) is (x+2)/(x-2)

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simplify (x^2-3x-10)/(x^2-7x+10)

simplify

\frac{x ^{2} - 3 x - 10}{x ^{2} - 7 x + 10}

\frac{x + 2}{x - 2}

Solution steps

\frac{x ^{2} - 3 x - 10}{x ^{2} - 7 x + 10}

Factor

x^{2} - 3 x - 10 : (x + 2) (x - 5)

= \frac{( x + 2 ) ( x - 5 )}{x ^{2} - 7 x + 10}

Factor

x^{2} - 7 x + 10 : (x - 2) (x - 5)

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

Cancel the common factor:

x - 5

= \frac{x + 2}{x - 2}

(x^{2} - 5 x - 2) - (- 6 x^{2} - 7 x - 3)

- 3 a^{x + 1} + 2 a^{x + 1} - a^{x + 1} + 2 a^{x + 1}

(5 + 5 i) (- 3 - 7 i)

27 \times 2

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

What is (x^2-3x-10)/(x^2-7x+10) ?
The solution to (x^2-3x-10)/(x^2-7x+10) is (x+2)/(x-2)