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17 February, 07:36

When does expanding and simplifying a (b+c) result in a positive value for ac

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  1. 17 February, 08:39
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    Step-by-step explanation:

    (ab + bc) (ab + bc)

    Simplifying

    (ab + bc) (ab + bc)

    Multiply (ab + bc) * (ab + bc)

    (ab (ab + bc) + bc (ab + bc))

    ((ab * ab + bc * ab) + bc (ab + bc))

    Reorder the terms:

    ((ab2c + a2b2) + bc (ab + bc))

    ((ab2c + a2b2) + bc (ab + bc))

    (ab2c + a2b2 + (ab * bc + bc * bc))

    (ab2c + a2b2 + (ab2c + b2c2))

    Reorder the terms:

    (ab2c + ab2c + a2b2 + b2c2)

    Combine like terms: ab2c + ab2c = 2ab2c

    (2ab2c + a2b2 + b2c2)
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