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19 July, 04:38

The coefficient of the second term in the expansion of the binomial (4x+3y) to the 3rd power

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  1. 19 July, 05:39
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    You can solve this easily by using Pascal's Triangle (look that up if need be).

    Here are the first four rows of P. Triangle:

    1

    1 1

    1 2 1

    1 3 3 1

    example: expand (a+b) ^3.

    Look at the 4th row. Borrow and use those coefficients:

    1a^3 + 3 a^2b + 3ab^2 + b^3

    Now expand (4x+3y) ^3:

    1 (4x) ^3 + 3 (4x) ^2 (3y) + 3 (4x) * (3y) ^2 + (3y) ^3

    Look at the 2nd term (above):

    3 (4x) ^2 (3y) can be re-written as 144x^2y.

    The coeff of the 2nd term is 144. Note that (4) ^2 = 16
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