因式分解.1.(x²-2x)²-2x²+4x-3
来源:学生作业帮 编辑:搜搜考试网作业帮 分类:综合作业 时间:2024/07/10 14:35:06
因式分解.1.(x²-2x)²-2x²+4x-3
(x²-2x)²-2x²+4x-3
2. (m+2n)²-(m+2n)-12
3. 2(x-y)²z²-4(x-y)z²-48z²
y²-xy-12x²
(x²-2x)²-2x²+4x-3
2. (m+2n)²-(m+2n)-12
3. 2(x-y)²z²-4(x-y)z²-48z²
y²-xy-12x²
![因式分解.1.(x²-2x)²-2x²+4x-3](/uploads/image/z/6723155-11-5.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3.1.%28x%26%23178%3B-2x%29%26%23178%3B-2x%26%23178%3B%2B4x-3)
(x²-2x)²-2x²+4x-3
= (x²-2x)²-2(x²-2x)-3
= (x²-2x-3)(x²-2x+1)
=(x+1)(x-3)(x-1)²
(m+2n)²-(m+2n)-12
=(m+2n-4)(m+2n+3)
2(x-y)²z²-4(x-y)z²-48z²
=2z²[(x-y)²-2(x-y)-24]
=2z²(x-y-6)(x-y+4)
y²-xy-12x²
=(y-4x)(y+3x)
= (x²-2x)²-2(x²-2x)-3
= (x²-2x-3)(x²-2x+1)
=(x+1)(x-3)(x-1)²
(m+2n)²-(m+2n)-12
=(m+2n-4)(m+2n+3)
2(x-y)²z²-4(x-y)z²-48z²
=2z²[(x-y)²-2(x-y)-24]
=2z²(x-y-6)(x-y+4)
y²-xy-12x²
=(y-4x)(y+3x)