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18 April, 20:12

Prove for any value of y the value of expression y^4 - (y^2-9) (y^2+9) is divisible by 9.

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  1. 18 April, 20:15
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    Step-by-step explanation:

    y4-

    (y2-9) (y2+9)

    9

    Distribute:

    =y4+

    -1

    9

    y4+9

    Combine Like Terms:

    =y4+

    -1

    9

    y4+9

    = (y4+

    -1

    9

    y4) + (9)

    =

    8

    9

    y4+9

    Answer:

    =

    8

    9

    y4+9
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