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How to answer

100x^2+60x+9

+2
Answers (1)
  1. 2 May, 07:34
    0
    Step-by-step explanation:

    Rewrite

    100

    x

    2

    100

    x

    2

    as

    (

    10

    x

    )

    2

    (

    10

    x

    )

    2

    .

    (

    10

    x

    )

    2

    +

    60

    x

    +

    9

    (

    10

    x

    )

    2

    +

    60

    x

    +

    9

    Rewrite

    9

    9

    as

    3

    2

    3

    2

    .

    (

    10

    x

    )

    2

    +

    60

    x

    +

    3

    2

    (

    10

    x

    )

    2

    +

    60

    x

    +

    3

    2

    Check the middle term by multiplying

    2

    a

    b

    2

    a

    b

    and compare this result with the middle term in the original expression.

    2

    a

    b

    =

    2



    (

    10

    x

    )



    3

    2

    a

    b

    =

    2



    (

    10

    x

    )



    3

    Simplify.

    2

    a

    b

    =

    60

    x

    2

    a

    b

    =

    60

    x

    Factor using the perfect square trinomial rule

    a

    2

    +

    2

    a

    b

    +

    b

    2

    =

    (

    a

    +

    b

    )

    2

    a

    2

    +

    2

    a

    b

    +

    b

    2

    =

    (

    a

    +

    b

    )

    2

    , where

    a

    =

    10

    x

    a

    =

    10

    x

    and

    b

    =

    3

    b

    =

    3

    .

    (

    10

    x

    +

    3

    )

    2
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