What is (x^2-7x+10)/(x^2+6x-16) ?

The solution to (x^2-7x+10)/(x^2+6x-16) is (x-5)/(x+8)

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simplify (x^2-7x+10)/(x^2+6x-16)

simplify

\frac{x ^{2} - 7 x + 10}{x ^{2} + 6 x - 16}

\frac{x - 5}{x + 8}

Solution steps

\frac{x ^{2} - 7 x + 10}{x ^{2} + 6 x - 16}

Factor

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

= \frac{( x - 2 ) ( x - 5 )}{x ^{2} + 6 x - 16}

Factor

x^{2} + 6 x - 16 : (x - 2) (x + 8)

= \frac{( x - 2 ) ( x - 5 )}{( x - 2 ) ( x + 8 )}

Cancel the common factor:

x - 2

= \frac{x - 5}{x + 8}

6 x^{2} - x^{3}

\frac{1}{x x ^{2} - 1}

\frac{3}{x ^{2} - x - 2} - \frac{2}{x ^{2} - 5 x + 6}

3 \div \frac{5}{8}

1 - 49 x^{2}

What is (x^2-7x+10)/(x^2+6x-16) ?
The solution to (x^2-7x+10)/(x^2+6x-16) is (x-5)/(x+8)