x²(3x+5Y)²-y²(5x+3y)² 因式分解感激不尽!_数学解答

x²(3x+5Y)²-y²(5x+3y)² 因式分解感激不尽!

人气：487 ℃　时间：2019-08-19 07:07:26

解答

=(3x²+5xy)²-(5xy+3y²)²
=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]
=(3x²+10xy+3y²)(3x²-3y²)
=3(3x+y)(x+3y)(x+y)(x-y)