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26 May, 00:41

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

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  1. 26 May, 01:07
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    The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where t he denominator is the bottom number in a fraction.

    We should find the lowest common denominator of (p+3) / (p^2+7p+10) and (p+5) / (p^2+5p+6).

    p^2+7p+10 can be written as a product: (p+5) (p+2)

    p^2+5p+6 can be written as a product: (p+3) (p+2)

    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: (p + 5) (p + 2) (p + 3)

    Solution C.
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