Computer Science, asked by dhirajsingh1590, 1 year ago

Find the coefficient of x9y3 in the expression of (2x-3y)12

Answers

Answered by Anonymous
35
The general term in a given expansion
{(a \:  + b) }^{n}
is given by,
 t_{r + 1}  =  \:  \binom{n}{r}  {a}^{n - r}. {b}^{r}
According to question,
a = 2x
b = -3y
n = 12.

To determine the coefficient of
 {x}^{9}  {y}^{3}
Put r = 3,
t_{4} =  \binom{12}{3} {(2x)}^{9} .{ (-3y)}^{3}
Therefore, coefficient of
 {x}^{9}  {y}^{3}
is 3041280.

Hope it helped you!
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Answered by sarupgadhavirsarupga
2

Answer:

4555885855855458680768880;-'';;-'(! vggduyfjh

3

Explanation:

3586886858855888888888888888

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