Easy Algebra Step-by-Step

146 Easy Algebra Step-by-Step

Step 3. Divide out common numerator and denominator factors.

=

()()()

()()()

⋅

()()+ ()()

()()()()

−− )(

− )(

++ )(

−− )(

))(( −

))(( ++

))(( −−

))(( −−

Step 4. Multiply the remaining numerator factors to get the numerator of

the answer, and multiply the remaining denominator factors to get

the denominator of the answer.

=

()−

()−

Step 5. Review the main results.

xx

xx

xx

x

xx

xx

x

xx

2

2

2

2

2

2

2

2

21 x

6

32 x

4

21 x

6

4

− 32 x

÷

3 x

−

=

−

⋅

−

3 x

=

()()xx 11 ()x−−

()()()

⋅

()()+ ()()

()()()()

=

()−

)( ++ ()−

)( −−

− ))(( )( −−

++ ))((

−− ))((

Adding (or Subtracting) Algebraic Fractions, Like Denominators

To add (or subtract) algebraic fractions that have like denominators, place

the sum (or difference) of the numerators over the common denominator.

Simplify and reduce to lowest terms, if needed.

Problem Compute as indicated.

a.

x

x

x

x

+

−

+

−

2

3

21 x− 1

3

b.^5

4

41

4

x^224 x

()x^1

−

()x^1

Solution

a.

x

x

x

x

+

−

+

−

2

3

21 x− 1

3

Step 1. Indicate the sum of the numerators over the common denominator.

x

x

x

x

+

−

+

−

2

3

21 x− 1

3