因式分解
提取公因式法
5d20de
3
2
23
2pq6pq4pq
完全分解下列各式
22
14acd21cd7cd
2
22
2ab3abc4acd
11pq22pq33pq2x(ab)3y(ab)
2
3
232
x(2ab)3y(2ab) 3a(x3)6b(x3) 2x4y8z papapa pzpzpz
2
3
3
4
4
5
2
2
2
3
3
3
9
2
3
5y(m3n)2z(m3n)nanana
2
3
2
2
222
2
2
3x9xy12xy
abcabcabc9y
2a
222333
3xaa
2a
6x
2x
a
15y
a
4x
2aa
4a
b
2n
8a
b1
n2xx1
b2
aa
a
a
a
b2
aa
b
bb1
a
b1
b2
3x6x9x
2
3
2
a6
2a4a4a
3axy6axy12axy
(2aab)(cd)(3ab2a)(cd)
2
2
2
十字相乘法
x6x53xxy2y
2
2
2
x5x6
acx(adbc)xbd
2
2
完全分解下列各式
114x49x pp
22
2
2
1k20k a8ab16b ab14ab49
2
22
2
2
14
x10xy25y
2x27xy15y23a210ab7b26x25xy6y2
12x2
10x125p2
13p6
5p2
q2
7pq64a2
7a3
4m2
8mn3n2
6p2
7p20
12p214pq40q2
6a219ab20b2
4x2
22x248x2
y2
44xy481431xy15x2
y2
14m2
29m1510a25ab15b2
4p2
2p
14
x2
xybxby
完全分解下列各式
xaxy3a3yp2
pq2p2q
2x2y2
7xy15
3a2
10a7
6x2y2
5xy6
5p213pq6q2
5p2
7p6
4a2
7a34m2
8m36p2
7p20
6p27pq20q2
6a2
19a202x2
11x126x2
33xy36y2
1431x15x2
14x2
11xy15y2
6x2
9xy81y2
4m2n2
20mn25分组分解法
x3x2
1x
m2
mbmcbc
axayx2
xy
y3y2
y1
24c2c4c3
e2ep2p2
e
a2
a44a
ax2a2
x3xy3ay8pq3qr12pr2q2
x2
y2
5x2
y5xy2
xy3(3x2y)2
6x4y
a22abb2
a2b2
x2
(ab)xab acx2(adbc)xbd
a3b3
a3
3a2
b3ab2
b3
a3
b3
c3
3abc
(对自然数n)anbn
(对奇数n) anbn
16n28nee2
p2
81q4
完全分解下列各式
x2
64
n2
100m2
121y2
m2
3m3nmn
2c2dd2
dc
3bcac6ab2a2
a3a2
a1
24mnab3an8bm
p2qpqr2pr2r2
m3m2
(2m1)
3a6b(a2b)2
公式法
a22abb2
a3b3
4c28cd4d2
4c2b2
a2b2
1
36x2
y8
222
49cde
22c(d2)
224x4xyy 22e6ef9f
9f
24fg16g 22
25p10pqq
49y42yz9z 14
mmnn
22
22
nn94
14
14
p
32
pqq
16x4xy
14
y
x2xyy 9xy42xyz49z 8xy56xy98xy 225x169xy
4(6a5b)(3ab)
m2mnn 49xy25z
6336
ab
44
a
25
4b9
9
x
9
yz16
22
4x
25
32ab2b
23
ab
22
c
64
64xy
612
2n9
4ab(abc) x8yz6xyz
222222
8x12x6x1 32a1 ax5a
2n1
2n5
aababb
752257
8ax
4m6
16ax
n8
2n11
b20a
b
2m4
20ab
4ababc2(abacbc)
2244
xy3xy1
33
(x1)(x2)(32x)
333
(abc)abc
添项和拆项
a2a3a2a1 x3x4 x3x3x2
432
2x15x38x39x14 3
x2xy3xy4xyy
43223
m
15
m
12
mmm1
963
完全分解下列因式
a64b xy
9
9
66
8abc6abc1xxxx 8x22xy15y
333
2315
aababb1
xyz2xy2xz2yzxy xxy6yx7y26x7xy3y11x3 2x5xy3y7y2
32
3x7x4 x48x7
32
x9x26x24 aa1
6x13xy6y22x23y20 2y5xy2xayaxa
x(2a1)x(a2a1)xa1
542322222x(63y)x(29y2y)x3(2y2y)x(9y2y)x6y
16x72xy81y8x18y1
4224
(x1)(x1)(x1)
422422
x
5n
x1
7
n
xx1
8
abc2ab2bc2ca