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kvasek [131]
3 years ago
5

Find the lowest common denominator of and . A. (p + 2) B. (p + 5)(p + 3) C. (p + 5)(p + 2)(p + 3) D. (p + 2)2

Mathematics
1 answer:
laiz [17]3 years ago
6 0
The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where t<span>he </span>denominator<span> is the bottom number in a fraction.
</span>We should find the lowest common denominator of (p+3)/(p^2+7p+10) and <span>(p+5)/(p^2+5p+6). 
</span><span>p^2+7p+10 can be written as a product: (p+5)(p+2)
</span>p^2+5p+6 <span>can be written as a product: (p+3)(p+2)
</span>So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:<span>(p + 5)(p + 2)(p + 3) 
Solution C.</span>
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