Question

The coefficient of x-4 in (2x-3/x)8 is​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Answer

First expand the term (1+2x)4 by binomial expansion.

(1+2x)4=4C0(1)4(2x)0+4C1(1)3(2x)1+4C2(1)2(2x)2+4C3(1)1(2x)3+4C4(1)0(2x)4

=1+8x+24x2+32x3+16x4                             (1)

Now expand the term (2−x)5 by binomial expansion,

(2−x)5=5C0(2)5(x)0−5C1(2)4(x)1+5C