Question

descompuneti in factori expresia a) t la puterea 4 +t la puterea 2-2 b)t la puterea 4 -t la puterea 2-2

Answer 1

$a)t^4+t^2-2=(t^4-1)+(t^2-1)=(t^2-1)(t^2+1)+(t^2-1)= \\ =(t^2-1)(t^2+1+1)=(t-1)(t+1)(t^2+2)$
$b)t^4-1-t^2-1=(t^2-1)(t^2+1)-(t^2+1)=(t^2+1)(t^2-1-1)= \\ =(t^2+1)(t^2-2)$