Предмет: Алгебра, автор: sytinatanya09

Упростите выражение
(x+3y)(x+y+ 2) - (x+y)(x+3y + 2)=
помогите пожалуйста, заранее спасибо​

Ответы

Автор ответа: bearcab
4

Ответ:

4у

Объяснение:

(x+3y)(x+y+ 2) - (x+y)(x+3y + 2)=x²+3xy+xy+3y²+2x+6y-(x²+xy+3yx+3y²+2x+2y)=

= приведем подобные=

=x²+4xy+3y²+2x+6y-(x²+4yx+3y²+2x+2y)=раскроем скобки=

=x²+4xy+3y²+2x+6y-x²-4yx-3y²-2х-2у=сократим на x² =

=4xy+3y²+2x+6y-4yx-3y²-2х-2у=сократим на 4xy =

=3y²+2x+6y-3y²-2х-2у=сократим на 3y²=

=2x+6y-2х-2у=сократим на 2x=

=6y--2у=4у

sytinatanya09: спасибо большое))
Автор ответа: OblivionFire
5

(x+3y)\cdot(x+y+2)-(x+y)\cdot(x+3y+2)=x^2+xy+2x+3xy+3y^2+6y-(x^2+3xy+2x+xy+3y^2+2y)=x^2+xy+2x+3xy+3y^2+6y-x^2-4xy-2x-3y^2-2y=0+4y=4y.

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