带上你耐心的分析,全解六题.分解因式 ,1、(x-y)+y²(y-x) 2、x²-z²+xy+y²3、4m³-16m²+16m4、(x+y)²-4(x-y)-125、1/2m²-2n²6、(a²-3)²-4a²
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![带上你耐心的分析,全解六题.分解因式 ,1、(x-y)+y²(y-x) 2、x²-z²+xy+y²3、4m³-16m²+16m4、(x+y)²-4(x-y)-125、1/2m²-2n²6、(a²-3)²-4a²](/uploads/image/z/3694918-22-8.jpg?t=%E5%B8%A6%E4%B8%8A%E4%BD%A0%E8%80%90%E5%BF%83%E7%9A%84%E5%88%86%E6%9E%90%2C%E5%85%A8%E8%A7%A3%E5%85%AD%E9%A2%98.%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F+%2C1%E3%80%81%28x-y%29%2By%26%23178%3B%28y-x%29+2%E3%80%81x%26%23178%3B-z%26%23178%3B%2Bxy%2By%26%23178%3B3%E3%80%814m%26%23179%3B-16m%26%23178%3B%2B16m4%E3%80%81%28x%2By%29%26%23178%3B-4%28x-y%29-125%E3%80%811%2F2m%26%23178%3B-2n%26%23178%3B6%E3%80%81%28a%26%23178%3B-3%29%26%23178%3B-4a%26%23178%3B)
带上你耐心的分析,全解六题.分解因式 ,1、(x-y)+y²(y-x) 2、x²-z²+xy+y²3、4m³-16m²+16m4、(x+y)²-4(x-y)-125、1/2m²-2n²6、(a²-3)²-4a²
带上你耐心的分析,全解六题.分解因式 ,
1、(x-y)+y²(y-x)
2、x²-z²+xy+y²
3、4m³-16m²+16m
4、(x+y)²-4(x-y)-12
5、1/2m²-2n²
6、(a²-3)²-4a²
带上你耐心的分析,全解六题.分解因式 ,1、(x-y)+y²(y-x) 2、x²-z²+xy+y²3、4m³-16m²+16m4、(x+y)²-4(x-y)-125、1/2m²-2n²6、(a²-3)²-4a²
1、(x-y)+y²(y-x)=(y-x)(y²-1)
=(y-x)(y-1)(y+1)
2、x²-z²+xy+y²(题目有误,无法分解)
3、4m³-16m²+16m=4m(m²-4m+4)=4m(m-2)²
4、(x+y)²-4(x+y)-12=[(x+y)-6]*[(x+y)+2]=(x+y-6)(x+y+2)
5、1/2m²-2n²=(1/2)(m²-4n²)=(1/2)(m-2n)(m+2n)
6、(a²-3)²-4a²=[(a²-3)-2a]*[(a²-3)+2a]
=(a²-2a-3)(a²+2a-3)
=(a-3)(a+1)(a+3)(a-1)
某
(x-y)+y²(y-x)=(x-y)-y²(x-y)=(x-y)(1-y²)=(x-y)(1+y)(1-y)
x²-z²+2xy+y²=(x+y)²-z²=(x+y-z)(x+y+z)
4m³-16m²+16m=4m(m²-4m+4)=4m(m-2)²
...
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(x-y)+y²(y-x)=(x-y)-y²(x-y)=(x-y)(1-y²)=(x-y)(1+y)(1-y)
x²-z²+2xy+y²=(x+y)²-z²=(x+y-z)(x+y+z)
4m³-16m²+16m=4m(m²-4m+4)=4m(m-2)²
(x+y)²-4(x-y)-12=(x+y-6)(x+y+2)
1/2m²-2n²=1/2(m²-4n²)=1/2(m+2n)(m-2n)
(a²-3)²-4a²=(a²-3+2a)(a²-3-2a)=(a+3)(a-1)(a-3)(a+1)
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