Perform the indicated division

Question

(x^{4minus 1) divided by (x+1)}

 

Answer 1

So, we're looking at the difference of squares, twice...

 

(x⁴ - 1)/(x + 1)

(x² + 1)(x² - 1)/(x + 1)

(x² + 1)(x - 1)(x + 1)/(x + 1)

(x² + 1)(x - 1)

x³ - x² + x - 1