王者荣耀 韩信 出装:因式分解

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典型专项例题之二
10.运用完全平方公式
20.运用十字相乘法
30.分组分解法
4.(1). 4a4_12a2b+9b2
(2). (a- b)2-4(a-b)c+4c2
(3). (2a-3b)2-4(2a-3b)b+4b2
(4). -x2+10x-25
5. (1). a2-8a-20
(2). m2+mn-20n2
(3). (a+b)2-3(a+b)-18
(4). 4x2-3x-10
(5) 4x3-24x2y+35xy2
本专项因式分解达标反馈:
A: (1) x2-14x+49
(2) m2-5m-6
(3) 4a2+4a+1
(4) a2+24a+144
(5) a2-5ab+4b2
(6) m2-4mn-12n2
B: (7) 10x2-3xy-18y2
(8) 6x2-7x-5
(9) (3S-r)2+9(3s-r)+8
(10) 12x-4-9x2
(11) 1-10ab2+25a2b4
(12) (a-b)2+4(b-a)+4
C: (13)2x4+4x2-6
*(14) (x-y)(x-y-1)-12
典型专项练习之三 分组分解法
6. (1)75xa3-50xa2+25xa-5a
(2) xy-y2-yz+xz
(3) 18a2-32b2-18a+24b
(4) x-y-y2+x2
*(5) 4ma-2m-4a2+4a-1
(6) 4-m2-m2-2mn
*(7) m3+m2+m-n3-n2-n

1.4a4_12a2b+9b2 =(2a2-3b)2
2.(a- b)2-4(a-b)c+4c2 =(a-b-2c)2
3.(2a-3b)2-4(2a-3b)b+4b2 =(2a-5b)2
4.-x2+10x-25=-(x-5)2
5.a2-8a-20=(a-10)(a+2)
6.m2+mn-20n2 =(m+5n)(m-4n)
7.(a+b)2-3(a+b)-18 =(a+b+3)(a+b-6)
8.4x2-3x-10=(x-2)(4x+5)
9.4x3-24x2y+35xy2=x(2x-7y)(2x-5y)
10.x2-14x+49=(x-7)2
11.m2-5m-6 =(m+1)(m-6)
12.4a2+4a+1 =(2a+1)2
13.a2+24a+144 =(a+12)2
14.a2-5ab+4b2=(a-b)(a-4b)
15.m2-4mn-12n2 =(m+2n)(m-6n)
16.10x2-3xy-18y2=(2x-3y)(5x+6y)
17.6x2-7x-5 =(2x+1)(3x-5)
18.(3S-r)2+9(3s-r)+8=(3S-r-8)(3S-r-1)
19.12x-4-9x2 =-(3x-2)2
20.1-10ab2+25a2b4 =(5ab2-1)2
21.(a-b)2+4(b-a)+4 =(a-b+2)2
22.2x4+4x2-6 =2(x2+3)(x+1)(x-1)
23.(x-y)(x-y-1)-12= (x-y-4)(x-y+3)
24.75xa3-50xa2+25xa-5a=5a(15xa2-10a+5x-1)
25. xy-y2-yz+xz=(y+z)(x-y)
26.18a2-32b2-18a+24b=2(3a-4b)(3a+4b-3)
27.x-y-y2+x2 =(x+y+1)(x-y)
28.4ma-2m-4a2+4a-1=(2a-1)(2m-2a+1)
29.4-m2-m2(n2吧???)-2mn =(4-m-n)(4+m+n)
30.m3+m2+m-n3-n2-n=(m-n)(m2+mn+n2+m+n+1)