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Question

How many terms are there in the expansion of left parenthesis 2 x plus 7 y right parenthesis to the power of 9

hintHint:

The binomial expansion is left parenthesis x plus y right parenthesis to the power of n equals sum from k equals 0 to n of   n C subscript k x to the power of n minus k end exponent y to the power of k comma text  here  end text n greater or equal than 0. The number of terms would be n+1. We are asked to find the number of terms in the expansion of the expression left parenthesis 2 x plus 7 y right parenthesis to the power of 9 .

The correct answer is: 10 terms.


    Step 1 of 1:
    The given expression is left parenthesis 2 x plus 7 y right parenthesis to the power of 9 . Here, n=9. So, the numbers of terms are 9+1=10 terms. Hence, the expansion of the expression would have 10 terms.

    The expansion of (x + y)n can be found using the (n+1)th row of the Pascal’s triangle.

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