把下列多项式因式分解(要过程).
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/30 21:19:49
把下列多项式因式分解(要过程).
(1)x^3-4x^2+4x (2)a^n+2+a^n+1-6a^n
(2)20m^2(a-b)+45(b-a) (3)x^2-2xy+y^2-1
(1)x^3-4x^2+4x (2)a^n+2+a^n+1-6a^n
(2)20m^2(a-b)+45(b-a) (3)x^2-2xy+y^2-1
(1)x^3-4x^2+4x=x(x²-4x+4)=x(x-2)²
(2)a^n+2+a^n+1-6a^n=a^n(a²+a-6)=a^n(a+3)(a-2)
(2)20m^2(a-b)+45(b-a) =5(a-b)(4m²-9)=5(a-b)(2m+3)(2m-3)
(3)x^2-2xy+y^2-1=(x-y)²-1=(x-y+1)(x-y-1)
(2)a^n+2+a^n+1-6a^n=a^n(a²+a-6)=a^n(a+3)(a-2)
(2)20m^2(a-b)+45(b-a) =5(a-b)(4m²-9)=5(a-b)(2m+3)(2m-3)
(3)x^2-2xy+y^2-1=(x-y)²-1=(x-y+1)(x-y-1)