What is (x^3-125)/(x^2-25) ?

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

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simplify (x^3-125)/(x^2-25)

simplify

\frac{x ^{3} - 125}{x ^{2} - 25}

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

Solution steps

\frac{x ^{3} - 125}{x ^{2} - 25}

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 5

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

- 428

(2 x + 4) (x - 3) - 5 (x - 3)

5 (w - 2 x + 9)

z^{5} z^{- 3} z^{- 4}

(- 5) (- 3) (- 2)

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