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    renebed's Avatar
    renebed Posts: 1, Reputation: 1
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    #1

    Dec 15, 2010, 04:57 PM
    indicated expansion
    indicated expansion (x+2)^7
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 15, 2010, 05:24 PM

    Use the binomial expansion.
    There is a pattern to these no matter the exponent.



    See the pattern? The a's powers go down and the b's go up.

    The coefficients can be found by multiplying the previous coefficient by the power of a and dividing by one more than the power of b.

    i.e. Say we have and we want the next coefficient in the line of terms.



    Next coefficient: Start with . Then, we have



    The first coeffcient is always the leading power. In this case, 7.

    See? For this problem, just sub x in for a and 2 in for b into the expansion.

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