What is (x^2+3x-10)/(x^2-25) ?

The solution to (x^2+3x-10)/(x^2-25) is (x-2)/(x-5)

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simplify (x^2+3x-10)/(x^2-25)

simplify

\frac{x ^{2} + 3 x - 10}{x ^{2} - 25}

\frac{x - 2}{x - 5}

Solution steps

\frac{x ^{2} + 3 x - 10}{x ^{2} - 25}

Factor

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

= \frac{( x - 2 ) ( x + 5 )}{x ^{2} - 25}

Factor

x^{2} - 25 : (x + 5) (x - 5)

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

Cancel the common factor:

x + 5

= \frac{x - 2}{x - 5}

sin^{2} (arccos (x))

\frac{3 x ^{5} 10 x ^{3} + x ^{2} + 5 x - 1}{x - 2}

1 1^{6}

\frac{12 x - 4}{4}

\frac{10}{3 5}

What is (x^2+3x-10)/(x^2-25) ?
The solution to (x^2+3x-10)/(x^2-25) is (x-2)/(x-5)