Originally Posted by
rel85 Hello,
Could somebody please help me expand the following, going into detail please as I'd like to learn how:
1) (a+b)^6
2) (1-x)^8
Regards,
Recall Pascal's Triangle:
Code:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
So when you go to expand , the coefficients of your terms will be from the 7th row of Pascal's Triangle.
Code:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1 **
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
Thus, it follows that
A similar process is done for . You just look at the 9th row of the Pascal's Triangle for the coefficients.
Can you try the last one?