因式分解 练习题(a+b)^2(ab-1)+1

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因式分解 练习题(a+b)^2(ab-1)+1

因式分解 练习题(a+b)^2(ab-1)+1
因式分解 练习题
(a+b)^2(ab-1)+1

因式分解 练习题(a+b)^2(ab-1)+1
(a+b)²(ab-1)+1
=ab(a+b)²-(a+b)²+1
=(a²+ab)(ab+b²)-[(a²+ab)+(ab+b²)]+1
=[(a²+ab)-1][(ab+b²)-1]
=(a²+ab-1)(ab+b²-1)

想要几道简单的因式分解练习题,需要答案,不要应用题..谢谢 1.3x^6-3x^2 =3x^2(x^4-1) =3x^2(x^2 1)(x^2-1) =3x^2(x^2

(AB-1)(A+B)^2+1
=(AB-1)A^2+(AB-1)B^2+2AB(AB-1)+1
=(AB-1)A^2+(AB-1)B^2+2(AB)^2-2AB+1
=(AB-1)A^2+(AB-1)B^2+(AB)^2+(AB)^2-2AB+1
=(AB-1)A^2+(AB-1)B^2+(AB)^2+(AB^2-2AB+1)
=(AB-1)A^...

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(AB-1)(A+B)^2+1
=(AB-1)A^2+(AB-1)B^2+2AB(AB-1)+1
=(AB-1)A^2+(AB-1)B^2+2(AB)^2-2AB+1
=(AB-1)A^2+(AB-1)B^2+(AB)^2+(AB)^2-2AB+1
=(AB-1)A^2+(AB-1)B^2+(AB)^2+(AB^2-2AB+1)
=(AB-1)A^2+(AB-1)B^2+(AB)^2+(AB-1)^2
=[(AB-1)A^2+(AB)^2]+[(AB-1)B^2+(AB-1)^2]
=A^2[(AB-1)+B^2]+(AB-1)*[(AB-1)+B^2]
=[A^2+(AB-1)]*[B^2+(AB-1)]

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