What is (x^2-7x+10)/(x^3-125) ?

The solution to (x^2-7x+10)/(x^3-125) is (x-2)/(x^2+5x+25)

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simplify (x^2-7x+10)/(x^3-125)

simplify

\frac{x ^{2} - 7 x + 10}{x ^{3} - 125}

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

Solution steps

\frac{x ^{2} - 7 x + 10}{x ^{3} - 125}

Factor

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

= \frac{( x - 2 ) ( x - 5 )}{x ^{3} - 125}

Factor

x^{3} - 125 : (x - 5) (x^{2} + 5 x + 25)

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

Cancel the common factor:

x - 5

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

8 \cdot 1 0^{- 8}

x^{0} \cdot x^{- 5} \cdot x^{4}

\frac{tan ( x )}{sec ( - x )}

8 (x^{2} - 9 x + 5)

- \frac{1}{5} x y - \frac{4}{5} x y

What is (x^2-7x+10)/(x^3-125) ?
The solution to (x^2-7x+10)/(x^3-125) is (x-2)/(x^2+5x+25)