16m^2-16n^2+8m+1因式分解第二题(a^2-4a)^2-(a^2-4a)-20第三题x^2+2xy+y^2+x+y-6

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/26 11:57:40
16m^2-16n^2+8m+1因式分解第二题(a^2-4a)^2-(a^2-4a)-20第三题x^2+2xy+y^2+x+y-616m^2-16n^2+8m+1因式分解第二题(a^2-4a)^2-(

16m^2-16n^2+8m+1因式分解第二题(a^2-4a)^2-(a^2-4a)-20第三题x^2+2xy+y^2+x+y-6
16m^2-16n^2+8m+1因式分解
第二题(a^2-4a)^2-(a^2-4a)-20
第三题x^2+2xy+y^2+x+y-6

16m^2-16n^2+8m+1因式分解第二题(a^2-4a)^2-(a^2-4a)-20第三题x^2+2xy+y^2+x+y-6
(a^2-4a)^2-(a^2-4a)-20
=[(a²-4a)-5][(a²-4a)+4]
=(a-5)(a+1)(a-2)²
x²+2xy+y²+x+y-6
=(x+y)²+(x+y)-6
=[(x+y)+3][(x+y)-2]
=(x+y+3)(x+y-2)

第一题
16m²-16n²+8m+1
=16m²+8m+1-16n²
=(4m+1)²-(4n)²
=(4m+1+4n)(4m+1-4n)
=(4m+4n+1)(4m-4n+1)
第二题
(a²-4a)²-(a²-4a)-20
=(a²...

全部展开

第一题
16m²-16n²+8m+1
=16m²+8m+1-16n²
=(4m+1)²-(4n)²
=(4m+1+4n)(4m+1-4n)
=(4m+4n+1)(4m-4n+1)
第二题
(a²-4a)²-(a²-4a)-20
=(a²-4a+4)(a²-4a-5)
=(a-2)²(x+1)(x-5)
第三题
x²+2xy+y²+x+y-6
=(x+y)²+(x+y)-6
=(x+y+3)(x+y-2)

收起