因式分解:a³x四次方+2a²bx²-x+ab²+b=0
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![因式分解:a³x四次方+2a²bx²-x+ab²+b=0](/uploads/image/z/1073163-3-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9Aa%26%23179%3Bx%E5%9B%9B%E6%AC%A1%E6%96%B9%2B2a%26%23178%3Bbx%26%23178%3B-x%2Bab%26%23178%3B%2Bb%3D0)
因式分解:a³x四次方+2a²bx²-x+ab²+b=0
因式分解:a³x四次方+2a²bx²-x+ab²+b=0
因式分解:a³x四次方+2a²bx²-x+ab²+b=0
=a^3 x^4+2abx^2x^2+ab^2-x+b
=a(a^2x^4+2abx^2+b^2)-(x-b)
=a(ax^2+b)^2-(x-b)
=[Va(ax^2+b)+V(x-b)][Va(ax^2+b)-V(x-b)]