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简支梁弯矩计算公式提公因式、公式法因式分解专题

作者:高考题库网
来源:https://www.bjmy2z.cn/gaokao
2020-09-11 18:17
tags:公式法

动漫设计类学校-stood


因式分解练习一
提取公因式法分解因式
(1)-15ax-20a; (2)-25x
8
+125x
16
; (3)-a
3
b
2
+a
2
b
3
; (4)6a
3
-8a
2
-4a;
(5)-x
3
y
3
-x
2
y
2
-xy; (6)a
8
+a
7
-2a
6
-3a
5
; (7)6a
3
x
4
-8a
2
x
5
+16a x
6
; (8)9a
3
x
2
-18a
5
x
2
-36a
4
x
4
;
(9) (10)a
m
-a
m+1
; (11)-12a
2n +1
b
m+2
+20a
m+1
b
2n+4
; (12)x(a+b)+y(a+b);
(13)(a+b)
2
+(a+b); (14)a
2
b(a-b)+3ab(a-b); (15)x(a+b-3c)-(a+b-3c) (16)a(a-b)+b(b-a);
(17)(x-3)
3
-(x-3)
2
; (18)a
2
b(x-y)-ab(y-x); ( 19)a
2
(x-2a)
2
-a(2a-x)
2
; (20)(x-a)
3
+a(a-x);
(21)(x-2y)(2x+3y)-2(2y-x)(5x-y); (22)3m(x-5)-5n(5-x); (23)y(x-y)
2
-(y-x)
3
; (24)a(x-y)-b(y-x)-c(x-y);
(25)(x-2)
2
-(2-x)
3
; (26)m(n-2)-p(2-n)+(n-2); (27)a
3
-b
3
-a
2
+b
2
; (28)(m-a)
2
+3x(m-a)-(x+y)(a-m);
(29)a
2
(x-2a)
3
-a(2a-x)
2
; (30)(a-3)(a
3
-2)-(3-a)(a
2
-1)+2(3-a) ; (31)2(x-y)(a-2b+3c)-3(x+y)(2b-a-3c);
(32)(x+2)(x-3)(x
2
-7)+(2+x)(3-x)(x+3); (33)(a-b)
2
(a+b)
3
-(b-a)
2
(b+ a)
2
; (34)x(b+c-d)-y(d-b-c)-b-c+d;
(35)(x+1)
2
(2x-3)+(x+1)(2x-3)
2
-(x+1)(3-2x);
因式分解练习二
运用公式法分解因式;
(1)a
2
-9b
2
; (2)-9x
2
+4y
2
; (3)a
4
-4b
2
; (4)a
6
-a
8
;
(5)x
2
-324; (6)144a
2
-256b
2
; (7)64x
16
-y
4
z
6
; (8)16a
16
-25b
2
x
4
;
(9)25a
2
b
4
c
16
-1; (10) (11)36a
4
x
10
-49b
6< br>y
8
; (12)81x
8
-225a
4
b
4
;
(13)(a+b)
2
-100; (14)-z
2
+(x-y)
2
; (15)361-(3a+2b)
2
; (16)(ax+by)
2
-1;
(17)20a
3
x
3
-45axy
2
; (18)(2x-3y)
2
-4a
2
; (19)(a+2b)
2
-(x-3y)
2
; (20)4(a+2b)
2
-25(a-b)
2
;
(21)a
2
(a+2b)
2
-9(x+y)
2
; (22)b
2
-(a-b+c)
2
; (23)(a+b)
2
-4a
2
; (24)(x-y+z)
2
-(2x-3y+4z)
2
;
(25)4(x+y+z)
2
-9(x-y-z)
2
; (26)a-a
5
; (27)a
4
-9b
4
; (28)a
8
-81b
8
;
(29)a
9
-ab
2
; (30)a
16
-b
16
; (31)a
2
b
3
-4a
2
b; (32)x
2
-y
2
+x-y;
(33)x
2
-y
2
-x-y; (34)x
2
-y
2
-x+y; (35)a
2
-4b
2
-a-2b; (36)a
2
-4b
2
-2a+4b;
(37)a
3
-ab
2
+a-b; (38)a
3
-ab
2
-a
2
-ab; (39)x
2
+8x+16; (40)x
2
-12x+36;
(41)4a
2
-4a+1; (42)-4a
2
+12ab-9b
2
; (43)x
2
-38x+361; (44)9x
2
+12xy+4y
2
;
(45)y
2
-50xy+625x
2
; (46)8a-4a
2
-4; (47)x
6
+24x
3
+144; (48)1-6ab
3
+9a
2
b
6
;
(49)49a
2
-112ab+64b
2
; (50)a
3
-4a
2
b+4ab
2
; (51) a
4
x
2
+4a
2
x
2
y+4x
2
y
2
; (52)16a
2
b
4
-8a b
3
c
2
+b
2
c
4
;
(53)9(p-q)
2
-6(q-p)+1; (54)(a+2b)
2
-10(a+2b)+25; (55)4x
2
(a+b)
2
-12xy(a+b)
2
+9y
2
(a+b)
2
;
(56)(x
2
+y
2
)2
-4x
2
y
2
; (57)
(60)( x
2
-b
2
+y
2
-a
2
)
2< br>-4(ab-xy)
2
;
(58)a
2
(x-y)+b
2
(y-x); (59)4x
2
-a
2
-6a-9;
因式分级答案
因式分解练习一答案:

三、(1)=-5a(3x+4); (2)=25x
8
(5x
8
-1); (3)=-a
2
b
2
(a-b); (4)=2a(3a
2
-4a-2); (5)=-xy(x
2
y
2
+xy+1); (6)=a
5
(a
3
+a
2
-2a-3);
(7)=2ax
4
(3a
2
-4ax+8x
2
); (8 )=9a
3
x
2
(1-2a
2
-4ax
2
)=-9a
3
x
2
(2a
2
+4ax
2
- 1); (9) (10)=a
m
(1-a)=-a
m
(a-1);
(11)=4ab
2
(5a
m
b
2n+2
-3 a
2n
b
m
); (12)=(x+y)(a+b); (13)=(a+b)(a+b+1); (14)=ab(a-b)(a+3); (15)=(a+b-3c)(x-1);
(16)=(a-b)
2
; (17)=(x-3)
2
(x-4); (18)=ab(x-y)(a+1); (19)=a(x-2a)
2
(a-1); (20)=(x-a)(x
2
-2ax+a
2
-a);
(21)=(x-2y)(12x+y); (22)=(x-5)(3m+5n); (23)=x(x-y)
2
; (24)=(x-y)(a+b-c); (25)=(x-2)
2
(x-1);
(26)=(n-2)(m+p+1); (27)=(a-b)(a
2
+b
2
+ab-a-b); (28)=(m-a)(m-a+4x+y); (29)=a(x-2a)
2
(ax-2a
2
-1);
(30)=(a-3)(a
3
+a
2
-5); (31)=(a-2b+3c)(5x+y); (32)=(x+2)(x-3)(x
2
-x-10); (33)=(a-b)
2
(a+b
2
)(a+b-1);
(34)=(b+c-d)(x+y-1); (35)=(x+1)(2x-3)(3x-1);

因式分解练习二运用公式法分解因式答案
(1)(a+3b)(a-3b); (2)-(3x+2y)(3x-2y); (3)(a
2
+2b)(a
2
-2b); (4)-a
6
(a+1)(a-1);
(5)(x+18)(x-18); (6)16(3a+4b)(3a-4b); (7)(8x
8
+y
2
z< br>3
)(8x
8
-y
2
z
3
); ( 8)(4a
8
+5bx
2
)(4a
8
-5bx
2< br>);
(9)(5ab
2
c
8
+1)(5ab
2
c
8
-1) (10)
(11)(6a
2
x
5
+7b
3
y
4
)(6a
2
x
5
-7b
3
y
4
); (12)9(3x
4
+5a
2
b
2
)(3x
4
-5a
2
b< br>2
);
(13)(a+b+10)(a+b-10); (14)(x-y+z)(x-y-z);
(15)(19+3a+2b)(19-3a-2b); (16)(ax+by+1)(ax+by-1);
(17)5ax(2ax+3y)(2ax-3y); (18)(2x-3y+2a)(2x-3y-2a);
(19)(a+2b+x-3y)(a+2b-x+3y); (20)-3(7a-b)(a-3b);
(21)(a
2
+2ab+3x+3y)(a
2
+2ab-3x-3y); (22)-(a+c)(a-2b+c);
(23)(3a+b)(b-a); (24)-(3x-4y+5z)(x-2y+3z)0
(25)-(5x-y-z)(x-5y-5z); (26)a(1+a
2
)(1+a)(1-a);
(27)(a
2+3b
2
)(a
2
-3b
2
); (2 8)(a
4
+9b
4
)(a
2
+3b
2
) (a
2
-3b
2
);
;
(29)a(a
4
+b)(a
4
-b); (30)(a< br>8
+b
8
)(a
4
+b
4
)(a
2
+b
2
)(a+b)(a-b);
(31)a
2
b(b+2)(b-2); (32)(x-y)(x+y+1); (33)(x+y)(x-y-1);
(34)(x-y)(x+y-1); (35)(a+2b)(a-2b-1); (36)(a-2b)(a+2b-2) (37)(a-b)(a
2
+ab+1)
(38)a(a+b)(a-b-1) (39)(x+4)
2
; (40)(x-6)
2
; (41)(2a-1)
2
;
(42)-(2a-3b)
2
; (43)(x-19)
2
; (44)(3x+2y)
2
; (45)(y-25x)
2
;
(46)-4(a-1)
2
; (47)(x
3
+12)
2
; (48)(3ab
3
-1)
2
; (49)(7a-8b)
2
;
(50)a(a-2b)
2
; (51)x
2
(a
2
+2y)
2
; (52)b
2
(4ab-c
2
)
2
; (53)(3p-3q+1)
2
;
(54)(a+2b-5)
2
; (55)(2x-3y)
2
(a+b)
2
; (56)(x
2+y
2
+2xy)(x
2
+y
2
-2xy)=(x+y )
2
(x-y)
2
;
(57); (58)(x-y)(a+b)(a-b); (59)(2x+a+3)(2x-a-3);
(60)(x-y+a-b)(x-y-a+b)(x+y+a+b)(x+y-a-b);

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