Упростить выражение:(4х²-25у²)(1/2х+5у+1/2х-5у). Created by Ekaterinka0. matematika-ru

2х-5у)...

svetazuna (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

8 votes Thanks 13

grgrtm1 (4x^2-25y^2)(1/2х+5у+1/2х-5у)=(4x^2-25y^2)x=4x^3-25xy^2

Ответ 4x^3-25xy^2

4 votes Thanks 2

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