Expand the following using suitable identities : (2/3 m – 3/4 )^3

Question

Expand the following using suitable identities : (2/3 m – 3/4 )^3

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Piper 2 months 2021-10-10T14:04:37+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-10T14:05:59+00:00

    Answer:

    We need to expand (x−

    3

    2

    y)

    3

    Suitable identities is (x−y)

    3

    =x

    3

    −3x

    2

    y+3xy

    2

    −y

    3

    The value of (x−

    3

    2

    y)

    3

    is

    = (x)

    3

    −3(x)

    2

    (

    3

    2

    y)+3(x)(

    3

    2

    y)

    2

    −(

    3

    2

    y)

    3

    = x

    3

    −2x

    2

    y+

    3

    4

    xy

    2

    27

    8

    y

    3

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