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11 July, 23:50

What is the simplified form of the quantity y squared plus 7y plus 12 over the quantity y squared minus 3y minus 18?

y minus 4 over y minus 6

y minus 4 over y plus 6

y plus 4 over y minus 6

y plus 4 over y plus 6

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  1. 12 July, 00:50
    0
    The correct option is C

    Step-by-step explanation:

    The given expression is:

    =y²+7y+12/y²-3y-18

    Break the middle term of both the numerator and denominator:

    =y²+4y+3y+12/y²-6y+3y-18

    Take the common from the expressions:

    =y (y+4) + 3 (y+4) / y (y-6) + 3 (y-6)

    = (y+3) (y+4) / (y+3) (y-6)

    The same terms will be cancelled: Then we have,

    = (y+4) / (y-6)

    Therefore the correct option is C ...
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