Question

resolver las siguientes divisiones( x^4-1)÷(x-1)​

Answer 1

Procedimiento:

$\frac{ {x}^{4} - 1}{x - 1} = \frac{ ({x}^{2} - 1)( {x}^{2} + 1) }{x - 1} = \frac{(x + 1)(x - 1)( {x}^{2} + 1) }{x - 1} \\ \\ = (x + 1)( {x}^{2} + 1) = \\ \\ {x}^{3} + x + {x}^{2} + 1 = \\ \\ {x}^{3} + {x}^{2} + x + 1$