Download - 11-7 Rational Expressions with Unlike Denominators Algebra 1 Glencoe McGraw-HillLinda Stamper
11-7 Rational Expressions with Unlike Denominators
Algebra 1 Glencoe McGraw-Hill Linda Stamper
As with fractions, to add or subtract rational expressions with unlike, or different denominators, you must rewrite with a common denominator before adding or subtracting.
83
21
21
83
44
84
83
87
x2
2x
2x1x2
2x
2x1
22 x
2x1
x
2x
2x
2x12x
x1
2
2m
2m33m2
3m2
2m
2m3
23m
2m23m
m69
23m
m69m2
3m
9m4 2
xx
mm
33
3m
9m41 2
3m
9m4 2
You must place the
subtracted quantity in
parentheses!
The problem.216x
x420x3
Write the denominators as prime factors.
x5223
Multiply numerator and denominator by factors needed to create a common denominator.
x22x22
55
Multiply to write the expression with a common denominator. Simplify.
xx2222
x4
x5223
xx2222x4
280x12x
280x
x52012x
280x
x52012x
80x
2017x 2
280x
x520
You must place the
subtracted quantity in
parentheses!
The problem.216x
x420x3
Write the denominators as factors. x54
3
Multiply numerator and denominator by factors needed to create a common denominator.
x4x4 5
5
Multiple to write the expression with a common denominator. Simplify.
xx44
x4
x543
xx44x4
280x
12x280x
x520
280x
x52012x
280x
x52012x
80x
2017x 2
Write in simplest form.
x2
x
12
2x
1x2 x
x
22 x
2x
x
1
2x
2x1
x
12x 2
Example 1
Example 2
32 9x
1
15x
3
xx533
xx533
3x3x
xxx331
55
345x
9x345x
5
45x
59x 3
xxx331
Example 3
28x
1x6x7
x327
x327 x22
x22
xx2221x
33
224x28x
224x
3x3
xx222
1x
224x
33x28x
224x
3x328x
24x
325x 2
Write in simplest form. Example
41x
11x
1
1x1
1x
1x 1x
1
1x
1x
1x1x
1x1x
1x1xx2
Example 5
x1
6x3
6x3 x
xx1
6x
6x
6xx3x 6xx
6x
6xx6x3x
6xx64x
6xx32x2
Write in simplest form. Example
62x2x
5x5x
5x
5x
2x2x
2x2x
5x5x
2x5x10x7x2
2x5x10x7x2
2x5x
10x7x10x7x 22
2x5x10x7x10x7x 22
2x5xx14
2x5xx14
Example 7 Write in simplest form.
23 10x
1
4x
4x3
xxx22
4x3
55
xx521
xxx22
4x3
xx52
1
x2x2
3x20
x20153x02
2x
3x20
15x18
x20
5x63 3
11-A6 Page 617-619 # 22–39,43-46,57,64-65.