Question

the sum of coefficients in the expansion of (2x-3y) ^15 will be​

Answer 1

         

Answer: -1

Step-by-step explanation:

The sum of coefficients in the expansion of (2x - 3y)¹⁵ is equal to (2 - 3)¹⁵ = (-1)¹⁵ = -1.

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Answer 2

Answer:

$\text{The given expression is : }(2x-3y)^{15}\text{ can be expand by using binomial theorem}\\\\\text{The binomial theorem states that : }\\(a+b)^n= \sum_{k=0}^ {n}_{k}^{n}\textrm{C}\cdot a^{n-k}\cdot b^k\\\\\text{Now, the expansion of the given expression is : }\\\\(2x-3y)^{15}=\sum_{k=0}^ {15}_{k}^{15} \textrm{C}\cdot (2x)^{15-k}\cdot (3y)^k$

After evaluation of the above expression, Add the coefficients of the resultant expression thus obtained to get the required sum of the coefficients.