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

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

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simplify (5x-25)/(x^2-7x+10)

simplify

\frac{5 x - 25}{x ^{2} - 7 x + 10}

\frac{5}{x - 2}

Solution steps

\frac{5 x - 25}{x ^{2} - 7 x + 10}

Factor

5 x - 25 : 5 (x - 5)

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

Factor

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

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

Cancel the common factor:

x - 5

= \frac{5}{x - 2}

\frac{\frac{1}{s}}{1 + \frac{1}{s}}

(3 - 2 i) - (- 4 + i)

lo g_{11} (144)

lo g_{128} (32)

\frac{( 4 z ^{3} + 6 z ^{2} )}{z ^{2}}