## Exam Style Question## Worked solutions to typical exam type questions that you can reveal gradually |

Question id: 30. This question is similar to one that appeared in an IB Standard paper in 2013. The use of a calculator is allowed.

If you expanded \((2x-3)^{15}\), the term containing \(x^6\) can be written as \(\binom{15}{a}\times(2x)^b\times(-3)^c\)

(a) Write down the values of \(a\), of \(b\) and \(c\).

(b) Find the coefficient of the term containing \(x^6\).

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