Expand completely in ascending powers of .

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Expand

(2x-3)^5

completely in ascending powers of

x

. (i) Write the full expansion with all coefficients simplified. (ii) Hence find the coefficient of

x^{3}

. (iii) Using your expansion, evaluate

(2x-3)^5

x = \dfrac{3}{2}