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Find the coffiecient of x^5 in the expa...

Find the coffiecient of `x^5` in the expansion of `(2-x+ 3x ^2)^6`

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To find the coefficient of \( x^5 \) in the expansion of \( (2 - x + 3x^2)^6 \), we can use the multinomial expansion formula. ### Step-by-Step Solution: 1. **Identify the General Term**: The general term in the expansion of \( (a + b + c)^n \) is given by: \[ T_{r,s,t} = \frac{n!}{r!s!t!} a^r b^s c^t ...
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ALLEN-Solutions of Triangle & Binomial Theorem-Illustration
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  13. Find the coffiecient of x^5 in the expansion of (2-x+ 3x ^2)^6

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  14. If (1+x+x^2)^n = underset(2n)overset(r=0)Sigma a (r)x^r then prove th...

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