Question

сократите дробь a^4-1/a^3+a^2+a+1

Answer 1

(а⁴-1)(а³+а²+а+1)=(а-1)(а³+а²+а+1)/(а³+а²+а+1)


=(а-1)


а⁴-1⁴=(а²-1)(а²+1)=(а-1)(а+1)(а²+1)=

(а-1)(а³+а+а²+1)

Answer 2

=(a²-1)(a²+1)  /( (a³+a²)+(a+1))= (a-1)(a+1)(a²+1) / (a+1)(a²+1) =a-1.