1.ab的立方-4ab 2.3x的平方y+12xy的平方+12y的立方 3.x的立方y-2x的平方y的平方+xy的立方

1.
ab³-4ab=ab(b²-4)=ab(b+2)(b-2)
2.
3x²y+12xy²+12y³
=3y(x²+4xy+4y²)
=3y(x+2y)²
3.
x³y-2x²y²+xy³
=xy(x²-2xy+y²)
=xy(x-y)²
4.
12a⁴b²-27a²b⁴
=3a²b²(4a²-9b²)
=3a²b²(2a+3b)(2a-3b)
5.
x²-xy+xz-yz
=x(x-y)+z(x-y)
=(x-y)(x+z)
6.
x²-y²+xz+yz
=(x+y)(x-y)+z(x+y)
=(x+y)(x-y+z)
7.
x²-4xy+4y²-1
=(x-2y)²-1
=(x-2y+1)(x-2y-1)
8.
x²-y²-z²+2yz
=x²-(y²-2yz+z²)
=x²-(y-z)²
=(x+y-z)(x-y+z)
9.
m²-n²-2n-1
=m²-(n²+2n+1)
=m²-(n+1)²
=(m+n+1)(m-n-1)
10.
4-a²+2a-1
=4-(a²-2a+1)
=4-(a-1)²
=(2+a-1)(2-a+1)
=(a+1)(3-a)
11.
9a²-b²-4b-4
=9a²-(b²+4b+4)
=(3a)²-(b+2)²
=(3a+b+2)(3a-b-2)
12.
9的平方-2a-35 】
13.
(a+b)²+7(a+b)+6
=(a+b+1)(a+b+6)
14.
x²-5xy-6y²
=(x+y)(x-6y)
15.
(x²+2x)²-(x²+2x)-2
=(x²+2x+1)(x²+2x-2)
=(x+1)²(x²+2x-2)
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1．m2(p－q)－p＋q； 2．a(ab＋bc＋ac)－abc； 3．x4－2y4－2x3y＋xy3；
4．abc(a2＋b2＋c2)－a3bc＋2ab2c2； 5．a2(b－c)＋b2(c－a)＋c2(a－b)； 6．(x2－2x)2＋2x(x－2)＋1； 7．(x－y)2＋12(y－x)z＋36z2； 8．x2－4ax＋8ab－4b2；
9．(ax＋by)2＋(ay－bx...