What is (x^2-25)/(x^2-7x+10) ?

The solution to (x^2-25)/(x^2-7x+10) is (x+5)/(x-2)

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simplify (x^2-25)/(x^2-7x+10)

simplify

\frac{x ^{2} - 25}{x ^{2} - 7 x + 10}

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

Solution steps

\frac{x ^{2} - 25}{x ^{2} - 7 x + 10}

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 5

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

248 - 327

(a^{3} - a + a^{2}) (a - 1)

(x - 6) 2

\frac{\frac{x ^{2} - 1}{2 x + 2}}{\frac{x ^{2} - 6 x + 5}{2 x ^{2}}}

2 \times \frac{1}{2}

What is (x^2-25)/(x^2-7x+10) ?
The solution to (x^2-25)/(x^2-7x+10) is (x+5)/(x-2)