Question

a) M = 2017
b) M = 2018²
c) M = 2018
d) M =
$\sqrt{2018}$
e) M = 2019

Answer 1

$\frac{ {x}^{5} - {x}^{3} }{ {x}^{4} - {x}^{3} } = \frac{ {x}^{3}( {x}^{2} - 1) }{ {x}^{3} (x - 1)} = \frac{ {x}^{2} - 1}{x - 1} = \\ \frac{(x + 1)(x - 1)}{(x - 1)} = x + 1 = 2018 + 1 = \\ = \boxed{2019}$

RESPOSTA:Letra E