因式化简

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/26 04:19:20
因式化简
xRn@(-<ФJUhb ,Vlرa/ ;K~c;iƾ>̹Ǟw65sti~M3W>wyO^_'-rHB^ά+BK,,㬐.h ɁJFfL0 ܉&. e%zRJ V{$%ut} H5tC *3^aQ F9A@7 t% hB}>M%ZG!>Z),>B;<^xFy;g9Y"f e }T@Yq>}E<˟PӤhzlzt v\\D,A{1I4OD Ӂj~.Ƥ`4˶l߮5;hR-ͺrN<I

因式化简
因式化简
 

 

因式化简
4x^4-4x^3+13x^2-6x+9
=(4x^4-4x^3+x^2)+(12x^2-6x)+9
=(2x^2-x)^2+6(2x²-x)+9
=(2x^2-x+3)^2
=[(2x-3)(x+1)]^2
=(2x-3)^2(x+1)^2
x^4-x^3-7X^2+13x-6
=X^3(x-1)-(7x^2-13x+6)
=x^3(x-1)-(7x-6)(x-1)
=(x-1)(x^3-7x+6)
=(x-1)(x^3-x^2+x^2-x-6x+6)
=(x-1)[x^2(x-1)+ x(x-1)-6(x-1)]
=(x-1)[(x-1)(x^2+x-6)]
=(x-1)^2(x^2+x-6)
=(x-1)^2(x+3)(x-2)