Binomial Coefficient Calculation for x^3

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 2
  • Algebraic manipulation
  • Binomial Theorem
  • Binomial coefficients

Determine the coefficient of \(x^3\) in the expansion of \((2x – 3)^6\) using the general term formula.

Hint Hint

Hint

Recall that the general term in the binomial expansion is \(T_{r+1} = \binom{6}{r}(2x)^{6-r}(-3)^r\) and set \(6 – r = 3\) to find the correct term.

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