Find the coefficient of x^5 for the expression: (1-x)^6(2x+3)^4 .. The answer provided is -222.... thanks...
one way would be to differentiate this 5 times and then put x=0.
the other method is:
[coefficient of x^0 in (1-x)^6]*[coefficient of x^5 in (2x+3)^4] + [coefficient of x^1 in (1-x)^6]*[coefficient of x^4 in (2x+3)^4]+...+[coefficient of x^5 in (1-x)^6]*[coefficient of x^0 in (2x+3)^4]
for this you can use binomial theorem.