Question

因式分解 急急急！！！！！

mx^2-8mx+16m
-x^4+256
-a+2a^2-3a^3
27x^2y^2-18x^2y+3x^2
y^4-y^2
3ax^2-3ay^2
这些是家庭作业
刚学因式分解只有5分了，速求答案！【回答者感激不尽】
选谁好呢= =

Answer 1

mx^2-8mx+16m=m(x-4)^2
-x^4+256=-(x^4-256)=-(x^2+16)(x^2-16)=-(x^2+16)(x+4)(x-4)
-a+2a^2-3a^3=-a(1-2a+a^2)=-a(1-a)^2
27x^2y^2-18x^2y+3x^2=3x^2(9y^2-6y+1)=3x^2(3y-1)^2
y^4-y^2=y^2(y^2-1)=y^2(y+1)(y-1)
3ax^2-3ay^2=3a(x^2-y^2)=3a(x+y)(x-y)

Answer 2

mx^2-8mx+16m=m(x^2-8x+16)=m(x-4)^2
-x^4+256=16^2-x^4=(16+x^2)(16-x^2)=(16+x^2)(4+x)(4-x)
-a+2a^2-3a^3=-a(3a^2-2a+1)
27x^2y^2-18x^2y+3x^2=3x^2(9y^2-6y+1)=3x^2(3y-1)^2
y^4-y^2=y^2(y^2-1)=y^2(y+1)(y-1)
3ax^2-3ay^2=3a(x^2-y^2)=3a(x+y)(x-y)

Answer 3

m(x-4)^2
16^2-x^4=(16-x^2)(16+x^2)=(4-x)(4+x)(16+x^2)
-a[3a^2-2a+1]=-a(a-1)(3a+1)
3(9x^2y^2-6x^2y+x^2)=3(3xy-x)^2
(x+y)(x-y)(x^2+y^2)
3a(x-y)(x+y)

Answer 4

mx^2-8mx+16m=m(x-4)^2
-x^4+256=(2+x)(2-x)(16+x^2)
-a+2a^2-3a^3= -a(3a+1)(a-1)
27x^2y^2-18x^2y+3x^2=3x^2(3y-1)^2
y^4-y^2=(y^2+y)(y^2-y)
3ax^2-3ay^2=3a(x+y)(x-y)

Answer 5

M(X-4)^2
-(x^4-16^2）=-（x^2-16)（x^2+16)=-(x-4)(x+4)（x^2+16)
-a(1-2a+3a^2)=
3x^2(3Y-1)^2
（y^2-y)(y^2+y)
3a(x-y）（x+y)