Binomial Expansion Term

00:00 5 marks

Find the term in $x^3$ in the expansion of $(2x – 3)^4$.

Hint Hint

Hint

Write the general term using the binomial theorem: $T_{r+1} = \binom{4}{r}(2x)^{4-r}(-3)^r$. Then, set the power of $x$ equal to 3 and solve for $r$.

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Answer Answer

Complete Answer

The term in $x^3$ is $-96x^3$.

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