Rational Expressions 149
Step 3. Write each algebraic fraction as an equivalent fraction having the
common denominator as a denominator.=
()+ ()
+
()+
()()
3
)( − )( +
x
+ ))((x⋅(
− ))⋅(=
()+ ()
+
+
()()
3
)( −
2
)( +
x^2
+ ))((xx+ 2
− ))((Step 4. Add as for like denominators.=
()()
()+ ()
)+( +
)( −
))+((
+ ))((
=
()+ ()
32 ++
)( −
xx+^2 x
+ ))((=
+
()+ ()
xx+
+ )((^25)
))(( −
=
()+
()+ ()
x(
+ )))((( −Step 5. Review the main results.
3
423 32
2x^2
xx
xx x xx x
−+ =
()x+ 22 ()x 2+
()xx+ 2
()x 22 ()x 2=
()x+ 22 ()x−−=
xx^2 + 5
()x+^2 ()xx^2=
()+
()+ ()
x(
+ )))((( −b.^21
322x
xx
− x−
+
Step 1. Factor each denominator completely.
21
322x
xx
− x−
+
=
()−
−
()+
21 −
) 2
x xStep 2. Find the LCD.
LCD = 2 ()x 33 ()x+ 1