What is ((x^3-125))/(x-5) ?

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

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simplify ((x^3-125))/(x-5)

simplify

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

x^{2} + 5 x + 25

Solution steps

\frac{x ^{3} - 125}{x - 5}

Factor

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

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

Cancel the common factor:

x - 5

= x^{2} + 5 x + 25

(- 6 - 2 i) + (6 - 5 i)

\frac{4}{75}

66 \cdot 3

\frac{12}{\frac{4}{3}}

(- 4 - i)^{2}