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Brums [2.3K]
3 years ago
10

Preform the operation and show work

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

1 / (x² + 6x + 8)

Step-by-step explanation:

(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)

= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)

               ↑ factor x² + 5x + 6    ↑ factor x² - 16 using difference of squares

= 1 / (x + 2) * 1 / (x - 4)    ← x + 4 and x + 3 cancel

= 1 / (x + 2) * (x + 4) ← multiply

= 1 / (x² + 6x + 8) ← expand

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