65

2

65

2 .1

22

xx

x

xx

x

Notes Over 11.6Adding and Subtracting Rational ExpressionsAdding and Subtracting Rational ExpressionsSimplify the expression.

652

xxx2

2 x65

22

xx

x

x 3 x 2

3

1

x

16

4

16 .2

22

xx

x

Notes Over 11.6Adding and Subtracting Rational ExpressionsAdding and Subtracting Rational ExpressionsSimplify the expression.

162 xx

4

4x 4x4

1

x

xx 7

2

5

3 .3

Notes Over 11.6Adding Expressions with Unlike DenominatorsAdding Expressions with Unlike DenominatorsSimplify the expression.

x35

7

21

x35

31

The LCD contains each factor the greatest number of times it appears in either denominator.

5 LCD 7 xx35

5

10

21

xx

2

5

1

4 .4

xx

Notes Over 11.6Adding Expressions with Unlike DenominatorsAdding Expressions with Unlike DenominatorsSimplify the expression.

21

xx

2x

84 x

x9

The LCD contains each factor the greatest number of times it appears in either denominator.

LCD 1x 2x

1x

55 x

13

82

1

4

3 .5

xx

x

Notes Over 11.6Adding Expressions with Unlike DenominatorsAdding Expressions with Unlike DenominatorsSimplify the expression.

42

x

2

x6

The LCD contains each factor the greatest number of times it appears in either denominator.

LCD 2 4x

2

1

4x

xx

x

3

21 .6

2

Notes Over 11.6Subtracting Expressions with Unlike DenominatorsSubtracting Expressions with Unlike DenominatorsSimplify the expression.

23

x

3

33 x

23

x

The LCD contains each factor the greatest number of times it appears in either denominator.

LCD 3 2x23x

x

x2

x 3

3

3

1

2 .7

xx

Notes Over 11.6Subtracting Expressions with Unlike DenominatorsSubtracting Expressions with Unlike DenominatorsSimplify the expression.

31

xx

3x

62 x

31

xx

The LCD contains each factor the greatest number of times it appears in either denominator.

LCD 1x 3x

1x

33 x

x 3

2

4

2

3 .8

2

xxx

x

Notes Over 11.6Subtracting Expressions with Unlike DenominatorsSubtracting Expressions with Unlike DenominatorsSimplify the expression.

2

xxx3

2

xx

The LCD contains each factor the greatest number of times it appears in either denominator.

LCD x 2x

x

x4

x 2x

x

1

2x

Notes Over 11.6