Question

(2х+3у)(х²+у)=(3ху+х)(у+2х)=(5у²+2х)(у²+х²)=

Answer 1

привет! надеюсь понятно

Answer 2

To simplify the given expressions, let's expand each of them step by step:

Expression 1: (2х+3у)(х²+у)

Expanding this expression using the distributive property:

= 2х * х² + 2х * у + 3у * х² + 3у * у = 2х³ + 2ху + 3х²у + 3у²

Expression 2: (3ху+х)(у+2х)

Expanding this expression using the distributive property:

= 3ху * у + 3ху * 2х + х * у + х * 2х = 3ху² + 6х²у + ху + 2х²

Expression 3: (5у²+2х)(у²+х²)

Expanding this expression using the distributive property:

= 5у² * у² + 5у² * х² + 2х * у² + 2х * х² = 5у⁴ + 5у²х² + 2ху² + 2х³

Therefore, the expanded forms of the given expressions are:

Expression 1: 2х³ + 2ху + 3х²у + 3у² Expression 2: 3ху² + 6х²у + ху + 2х² Expression 3: 5у⁴ + 5у²х² + 2ху² + 2х³