amjadadem2 amjadadem2

14-10-2020
Mathematics

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. Find the coefficient of x3 in the expansion of (3+2x+x2)6

Find the coefficient of x3 in the expansion of 32xx26 class=

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elliecn0313 elliecn0313

14-10-2020

Answer: 9180

Step-by-step explanation:

(3 + 2x + x^2)^6 = x^12 + 12x^11 + 78x^10 + 340x^9 + 1095x^8 + 2712x^7 + 5284x^6 + 8136x^5 + 9855x^4 + 9180x^3 + 6318x^2 + 2916x + 729

This can be found using Pascal's Triangle.

The coefficient of x^3 is 9180.

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