Question

因式分解数学题，求答案和过程

Answer 1

-12x^3y^3z^3
—
18
x^3
y^2
z^4
+
24
x^2
y^4
z^3
—
6x^2
y^3
z^4
=-6x^2y^2z^3(2xy+
3xz-4y^2+yz)
(1-x)^2
+
(x-1)^3
=(1-x)^2+(x-1)^2(x-1)
拆分与合并的过程我不想打了,请见谅
=x(x-1)^2
-4m^3
+
16m^2
-
26m
=-2m(2m^2-8m+13)
18b
(a-b)^2
—
12
(a-b)^3
=6(a-b)^2[3b-2(a-b)]
=6(a-b)^2(3b-2a+2b)
=6(a-b)^2(5b-2a)
9m^2
-
4n^2
=（3m+2n)(3m-2n)
4/9x^2
-
0.01y^2
=(2/3x+0.1y)(2/3x-0.1y)
16(a-b)^2
-
9(a+b)^2
=[4(a-b)+3(a+b)][4(a-b)-3(a+b)]
=(7a-b)(a-7b)
m^4
-
n^4
=(m^2)^2-(n^2)^2
=(m^2+n^2)(m^2-n^2)
=(m^2+n^2)(m+n)(m-n)
4a^2
+
4a
+
1
=(2a+1)^2
-x^2
-
4y^2
+4xy
=-(x^2+4y^2-4xy
=-(x-2y)^2