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7 January, 14:15

Multiply y^2-16/2y. 5y/y-4

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  1. 7 January, 14:56
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    So, first we multiply the fraction by using the formula a/b times c/d = a times c/b times d

    = (y^2-16) times 5y/2y (y-4)

    Now, we cancel the common factor y

    = (y^2-16) times 5/2 (y-4)

    Now, we factor 5 (y^2-16)

    We factor (y^2-16) first

    y^2-16

    Rewrite 16 as 4^2

    y^2-4^2

    Now, apply the formula x^2-y^2 = (x+y) (x-y)

    =y^2-4^2 = (y+4) (y-4)

    =5 (y+4) (y-4)

    =5 (y+4) (y-4) / 2 (y-4)

    Cancel the common factor y-4

    =5 (y+4) / 2

    Answer: 5 (y+4) / 2
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