Question

Помогите решить пример. (2х-5)²*(х-5)=(2х-5)*(х-5)²

Answer 1

(2х-5)^2(х-5) = (2х-5)(х-5)^2
(2х-5)^2(х-5) - (2х-5)(х-5)^2=0
(2x-5)(x-5)((2x-5)-(x-5))=0
(2x-5)(x-5)(2x-5-x+5)=0
(2x-5)(x-5)(x)=0
(x-2.5)(x-5)(x)=0
X1=2.5
X2=5
X3=0