Выражение: (4х²-25у²)(1/2х+5у+1/2х-5у) - вопрос №7540871425125125 от патя143 23.09.2022 08:12

Question

Математика: Выражение: (4х²-25у²)(1/2х+5у+1/2х-5у)

патя143 · Answer

(4х² - 25у²) * ( 1/(2х+5у) + 1/(2х-5у) ) =
(4х² - 25у²) * ( (2х-5у)/(2х+5у)*(2х-5у) + (2х+5у)/(2х-5у)*(2х+5у) ) =
(4х² - 25у²) * ( (2х-5у) + (2х+5у)/(2х-5у)*(2х+5у) ) =
(4х² - 25у²) * ( (2х-5у + 2х+5у)/(2х-5у)*(2х+5у) ) =
(4х² - 25у²) * ( (4х)/(2х-5у)*(2х+5у) ) =
( (2х-5у)*(2х+5у) ) * ( (4х)/(2х-5у)*(2х+5у) ) = 4х