Binomial Expansion: Understanding the Coefficient of x5

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SUMMARY

The discussion centers on finding the coefficient of x5 in the expression (1-x)6(2x+3)4. The correct coefficient is -222, as confirmed by multiple participants. A common error identified was miscalculating the contributions from the fourth and fifth terms of the expansion. Participants emphasized the importance of accurately applying the binomial theorem to derive the correct coefficients.

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Homework Statement



Find the coefficient of x5 for the expression: (1-x)6(2x+3)4 The answer provided is -222, but my answer is far from that, can any enlighten me?

Homework Equations





The Attempt at a Solution



DSC00570.jpg
 
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You miscalculated the fourth and fifth contributions. The first three are correct.
 

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