3.1 0 Add/Subtract Rational Expressions Example 1 Add and subtract with the same Add and subtract with the same denominator denominator Find the sum or difference. Find the sum or difference. x x a 8 4 8 3 . x 8 3 4 x 8 7 Add numerators. Add numerators. Simplify. Simplify. 1 7 1 9 2 . x x x b x x a 8 4 8 3 .
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3.10 Add/Subtract Rational Expressions Example 1 Add and subtract with the same denominator Find the sum or difference. Add numerators. Simplify.
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3.10 Add/Subtract Rational Expressions
Example 1 Add and subtract with the same denominatorAdd and subtract with the same denominator
Find the sum or difference.Find the sum or difference.
xxa
8
4
8
3 .
x8
3 4
x8
7
Add numerators.Add numerators.
Simplify.Simplify.
1
7
1
92 .
xx
xb
xxa
8
4
8
3 .
3.10 Add/Subtract Rational Expressions
Example 1 Add and subtract with the same denominatorAdd and subtract with the same denominator
Find the sum or difference.Find the sum or difference.
xxa
8
4
8
3 .
1
x92 x 7
1
x
22 x
Add numerators.Add numerators.
Simplify.Simplify.
1
7
1
92 .
xx
xb
1
7
1
92 .
xx
xb
2 1x
1xFactor and divide out Factor and divide out common factor.common factor.
___ Simplify.Simplify.2
3.10 Add/Subtract Rational Expressions
xx
x
4
3
4
8 .1
Checkpoint. Find the sum or difference. Checkpoint. Find the sum or difference.
x4
x 11
x
x
x
x 5256 .2
x
x4 4
3.10 Add/Subtract Rational Expressions
Example 2 Find the LCD of rational expressionsFind the LCD of rational expressions
Find the LCD of the rational expressions.Find the LCD of the rational expressions.
43 4
5 ,
3
1 .
xxa
2
3 ,
4
7 .
22
xx
x
xb
a. Find the ______________________ of 3x3 and 4x4.least common multiple
_____________3 3 x 3 x x x
_____________4 4 x 4 x x x xWrite prime factorization.Write prime factorization.