Question

Simplify and write with positive exponents: (x^3-125)/(x^2-25)

Answer 1

x+5 x-5 x+5/x+5 x-5=x+5

Answer 2

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



((x-5)(x^2+5x+25)/(x^2-25)



((x-5)(x^2+5x+25)/((x-5)(x+5))



(x^2+5x+25)/(x+5)


So \[\large \frac{x^3-125}{x^2-25}=\frac{x^2+5x+25}{x+5}\]

Answer 3

oh wait i messed up good catch jim

Answer 4

Thanks Jim!

Answer 5

you factor the numerator using the difference of cubes formula

you factor the denominator using the difference of squares formula