因式分解:a^2×b^2-4ab-5x^4+6x^2+8(x+y)^2-3(x+y)+2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 01:29:54
因式分解:a^2×b^2-4ab-5x^4+6x^2+8(x+y)^2-3(x+y)+2因式分解:a^2×b^2-4ab-5x^4+6x^2+8(x+y)^2-3(x+y)+2因式分解:a^2×b^2

因式分解:a^2×b^2-4ab-5x^4+6x^2+8(x+y)^2-3(x+y)+2
因式分解:a^2×b^2-4ab-5
x^4+6x^2+8
(x+y)^2-3(x+y)+2

因式分解:a^2×b^2-4ab-5x^4+6x^2+8(x+y)^2-3(x+y)+2
a^2×b^2-4ab-5
=(ab-5)(ab+1)
x^4+6x^2+8
=(x²+2)(x²+4)
(x+y)^2-3(x+y)+2
=[(x+y)-1][(x+y-2]
=(x+y-1)(x+y-2)