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# simplifying binomial expansion watch

1. Expand (2 + y) ^6 in ascending powers of y as far as the term in y^3, simplifying each coefficient. (4)

(b) Hence expand (2 + x − x ^2 ) ^6 in ascending powers of x as far as the term in x3,simplifying each coefficient.

I have done part a, to which I have done part a which is :

64 + 192y + 240 y^2 + 160y^3

I know you let y = x - x^2, but how do you expand and simplify.
2. (Original post by indignation)
Expand (2 + y) ^6 in ascending powers of y as far as the term in y^3, simplifying each coefficient. (4)

(b) Hence expand (2 + x − x ^2 ) ^6 in ascending powers of x as far as the term in x3,simplifying each coefficient.

I have done part a, to which I have done part a which is :

64 + 192y + 240 y^2 + 160y^3

I know you let y = x - x^2, but how do you expand and simplify.
Sub y = x - x^2 into:

64 + 192y + 240 y^2 + 160y^3

= win
3. ok but how do you correctly expand from there
4. (Original post by indignation)
ok but how do you correctly expand from there
As Jai Sandhu has mentioned you just sub y = x - x^2 into your expansio in part (a). From there you just expand normally, and apply the binomial expansion again for x^2 and x^3 coefficent and then times by the number outside. Then you just simply.

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