170 algebra De mystif ieD
PRACTICE
Factor each denominator completely and find the LCD.- x
xx x
−
+++
−10
875(^2222)
2.^322
524
14(^226)
x
xx
x
xx
- −−
− +
+−
3.^7
3
1
xx− 3+
−- x
xx xx
+
+−+
++1
621124(^2292718)
5.^3
2448
7
6241
xx^22 +− xx 4202 x 4+
−−
+−6.^24
(^2271269)
x
xx
x
xx
−
−+
−
−+
7.^67
5
x 2 3
x−
−+✔SOLUTIONS
- x
xx x
x
xx xx−
+++
−= −
+++
−+10
875
2210
715(^22) ()() 21 ()() 1
LCD = 2(x+ 7)(x+ 1)(x− 1)
2.^322
524
14
6322
8314
22x
xxx
xxx
xxx
x+
−−− +
+−= +
−+− +
()()( ++−32)(x )
LCD = (x− 8)(x+ 3)(x− 2)3.^7
3
1
37
31
37
31
xx− xxxx 3+
−=
−+
−−=
−+ −
() −
LCD =x− 34.x
xx xxx
xx x+
+−+
++= +
−++
+1
621124
927181
32 144(^22) ()() 9 ( 1 12)(x+ )
LCD = 9(2x− 1)(x+ 4)(x+ 1)(x+ 2)
PRACTICE
Factor each denominator completely and find the LCD.