Date:
Name:
Algsbra" Period
Common Binomial Factors
Factor out the common binomial factor and simplify the result completely.
l.
y(x + 2) + z(x+ 2)
3.
x(2x + 1) + 8(2x + 1)
5.
x(2x+
7.
8x(5x- 1)-(sx-
9.
5x(4x
-2) - 6(4x-2)
11,
xtx -
5)
13.
x2(x-
0*a$-a)
15.
x213x
3(x-3)+x(x-3)
4.
+
1)
25(x
-
- 9/1:x + t1
+ (y
-
4)
4x(x- 2)-z(x-Z)
1)
5)
-4)
x(4-x)-(4-x)
3) + (2x + 3)
-
y(y
10.
(9x + 2) + 9x(9x+ 2)
12.
9x2(3x
t4.
x2(x2
16.
Qx+ lXx -
-
- 1) - (3x - 1)
4)
- 9(* -
4)
2) + 8(x
-
2)
Factoring hy Grouping and Factoring with Common Binomial Squares
Factor completely.
17.
x2 + 3x +
18. t' +f+2y+2
xk+ 3k
19. * -za+ ad-2d
20.
21. w*5u*v2+5v
22. u3-u2v+ul-t'
23.
x2-xk +4x-4k
24.
P+zt+3kt+5k
25.
ad+ 3a-d2-3d
26.
Zab
+ l4a+b + 7
27. x(x-2)+3(x-2)
28.
(5c
-
29.
al2a+ 5) + 2(2a+ 5)
30.
k'G + 3) - a(x + 3)
31.
n(3n-
1)
32.
vPllw-
33.
2b(r +
$'*3$
+ a)
34.
2d(5
35.
(x2
+ 1)4
36.
e,*g+
m3 + m2n + mn2 + n3
Factor Completely.
- s(3n-
+ t)k +
(x2
1)
d)(2c) + (sc
1)
- n)
7)
-
dx4d)
r (3w- 1)
+
e1S
-
- (t+ 7)
n21