3.83: Descending expansion of (2x14x2)n\left(2x - \dfrac{1}{4x^{2}}\right)^{n}

0606/13/O/N/23 — Question 8 · 6 marks · Binomial

The first three terms, in descending powers of xx, in the expansion of (2x14x2)n\left(2x - \dfrac{1}{4x^{2}}\right)^{n} can be written in the form 256xc+ax5+bx2256x^{c} + ax^{5} + bx^{2}, where nn, aa, bb and cc are integers. Find the values of nn, aa, bb and cc.
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