8.5 Warm-up

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8.5 Warm-up
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8-5 Add and Subtract Rational Expressions
Adding and Subtracting with Like Denominators
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Find the LCM
Step 1 Factor each polynomial. Write the
factors as products of primes. Step 2 Form the
LCM by writing each factor to the highest power
it occurs.
1. 5x2 45 and 4x2 24x 36
5(x2 9) 5(x 3)(x 3)
4x2 24x 36 4(x2 6x 9) 4(x 3)(x 3)
4(x 3)2
LCM is 20(x 3)(x 3)2
2. 5x3 and 10x2 15x
5x3
5x(2x 3)
LCM is 5x3(2x - 3)
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Find the LCM
3. 24x2 and 8x2 16x
(23)(3)x2
8x(x 2) (23)x(x-2)
LCM is 24x2(x 2)
Add and Subtract with Unlike Denominators
LCM is 10c2(c - 2)
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LCM is 30x
LCM is 2(x 1)(x 3)
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LCM is (x 2)(x 2)(x 2)
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Simplifying Complex Fractions
LCM is 30
LCM is x
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LCM is (x 3)(x 5)
Homework Page 586 3 -36