因式分解 x⁴-2x²y-3y²+6y-4应为x⁴-2x²y-3y²_数学解答

因式分解 x⁴-2x²y-3y²+6y-4
应为x⁴-2x²y-3y²+8y-4

人气：131 ℃　时间：2019-12-20 01:56:21

解答

原式=x^4-2x²y+y²-4y²+8y-4
=(x²-y)²-4(y-1)²
=(x²-y+2y-2)(x²-y-2y+2)
=(x²+y-2)(x²-3y+2)