question 1

Do you know the Pascal triangle?

Woah thats a lot of infomation, but supringly it makes sense! Ill take note of using the pascale triangle.Thank you

([1/2]x^3 y^2 - 4y)^9

The 5th term is given by

C(9, 5 - 1) [(1/2)x^3y^2 ]^5 * [ -4y]^(5 - 1) =

C(9 , 4) * [ (1/2)^5 ] * [ x^3y^2]^5 * [ -4]^(4) * (y)^4 =

126 * ( 1/32) * [ x^15 y^10 ] * [ 256] * y^4 =

(126 * 256 / 32) [x^15 * y^14 ]

1008 x^15 y^14

This is a bit easier to understand, thank you for your help.