Question

Cократите дробь
$\frac{2a^4+3a^3+2a+3}{(a^2-a+1)(2a+3)}$

Answer 1

(2а⁴+3а³+2а+3)/(а²-а+1)(2а+3)

(а³(2а+3)+(2а+3))/(а²-а+1)(2а+3)=

(2а+3)(а³+1)/(а²-а+1)(2а+3)=

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