Question

Спростите уравнение:
числитель 27y^3+1
знаменатель 1-9y^2

Answer 1

$\frac{27y^{3}+1}{1-9y^{2}}=\frac{(3y)^{3}+1^{3}}{1^{2}-(3y)^{2}} =\frac{(3y+1)(9y^{2}-3y+1) }{(1-3y)(1+3y)}=\frac{9y^{2}-3y+1}{1-3y}$

Answer 2

$\frac{27y^3+1}{1-9y^2}=\frac{(3y+1)(9y^2-3y+1)}{(1-3y)(1+3y)}=\frac{9y^2-3y+1}{1-3y}$