Maths-
General
Easy

Question

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

The correct answer is: Hence, the expansion of the expression would have 10 terms.


    ANSWER:
    Hint:
    The binomial expansion is left parenthesis straight x plus straight y right parenthesis to the power of straight n equals sum from straight k equals 0 to straight n of   nC subscript straight k straight x to the power of straight n minus straight k end exponent straight y to the power of straight k comma text  here  end text straight 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 expressionleft parenthesis 2 straight x plus 7 straight y right parenthesis to the power of 9 .
    Step 1 of 1:
    The given expression isleft 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.
    Note:
    The expansion of (x + y)n can be found using the (n+1)th row of the Pascal’s triangle.

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