【因式分解】三道题①9x的四次方-82x²+9②x的三次方-x²-y的三次方+y² ③x²_数学解答

【因式分解】三道题
①9x的四次方-82x²+9
②x的三次方-x²-y的三次方+y²
③x²-6xy+9y²-3x+9y

人气：272 ℃　时间：2020-10-01 06:27:04

解答

=(9x^2-1)(x^2-9)=(3x+1)(3x-1)(x+1)(x-1)
=(x^3-y^3)-(x^2-y^2)=(x-y)(x^2+xy+y^2)-(x-y)(x+y)=(x-y)(x^2+xy+y^2-x-y)
=(x-3y)^2-3(x-3y)=(x-3y)(x-3y-3)