rational expressions – sum & difference 1 when fractions already have a common denominator,...
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Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 1 :xxxx
107373
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 1 :
EXAMPLE # 2 :3
7
3
8
3
8
3
mmmmm
xxxx
107373
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 1 :
EXAMPLE # 2 :3
7
3
8
3
8
3
mmmmm
xxxx
107373
EXAMPLE # 3 :
2
92
2
831
2
83
2
1
x
x
x
xx
x
x
x
x
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 4 : ba
xx
ba
x
ba
x
82438243
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 4 :
ba
xx
ba
xx
ba
x
ba
x
8243
82438243
Distributed ( - )
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 4 :
ba
x
ba
xx
ba
xx
ba
x
ba
x
128243
82438243
Combined like terms…
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 5 :44
84
44
8
44
4222
xx
x
xxxx
x
Even though this answer is correct, it is not in simplest from. We will need to simplify by factoring.
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 5 :
2
4
22
24
44
84
44
8
44
4222
xxx
x
xx
x
xxxx
x
Factor and simplify.
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 6 :3612
126
3612
12
3612
6222
aa
a
aaaa
a
Check to see if answer is in simplest form by factoring.
Rational Expressions – Sum & Difference 1
When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators. Combine any like terms when possible.
EXAMPLE # 6 :
66
)2(6
3612
126
3612
12
3612
6222
aa
a
aa
a
aaaa
a
No common terms to cancel so answer is OK.