150 Easy Algebra Step-by-Step
Step 3. Write each algebraic fraction as an equivalent fraction having the
common denominator as a denominator.
=
()()
()()+
−
()−
()()−
(^2) ( +
) 2 2 ( +
− )⋅ (^2) ((
− ))⋅ 2 (
x⋅(
- )⋅(
=
−
()()+
−
()()+
4 + 2
(^2) (
3
(^2) (
xx^22 ++ 22 2
− )(
xx− 3
− )(
Step 4. Subtract as for like denominators.
=
()−
()()+
−
()
()()+
+
(^2) ( (^2) (
++ ) (
− )(
−
− )(
=
()− ()
()()+
+ )−(
2 (
++ )) (( −
− )(
=
−
()()+
4 + 23 −+
2 (
xx^22 ++ 22 2 xx+ 3
− )(
=
−
()()+
35 + 2
(^2) (
xx^2 + 5
− )(
=
()()+
(^2) ()( ()+
− )(
− )(
Step 5. Review the main results.
21
322
21
2
x
x
x
x
x x
−
−
+
=
()x− 3
−
()x+ 1
=
()()
()()+
−
()−
()()−
(^2) ( +
) 2 2 ( +
− )⋅ ((
− ))⋅ 2 (
x⋅(
+ )⋅(
=
4 2
2
3
2
xx^2222222 x− 2 xx 3
()x 33 ()x+ 1
−
()x 33 ()x+ 1
=
4 23
2
xx^2222222 x− 2 xx 3
()x 33 ()x+ 1
=
352
2
xx^2555 x−
()x^33 ()x+^1
=
2
() 31 x 1 ()x+ 2
()x 33 ()x+ 1