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21 June, 18:17

Find the least common denominator for these two rational expressions

a / a^2 - 6a + 9

7 / a^2 - 8a + 15

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  1. 21 June, 18:26
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    factor the 2 denominators:-

    a^2 - 6a + 9 = (a - 3) (a - 3)

    a^2 - 8a + 15 = (a - 3) (a - 5)

    ((a - 3) is common to both sets of factors so the LCD is:-

    (a - 3) (a - 3) (a - 5) or this can be written as (a - 3) ^2 (a - 5)
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