i have two questions i need help with.
for the first one should i use pascals triangle?
1. Expand, fully, each of the following
i) (x + 2y)^4
2. Show that, if x is small enough for x^2 and higher powers of x to be neglected, the function (x – 2)(1 + 3x)^8 has a linear approximation of - 2 – 47x.
To give you an example, and to help you with #2, I'll expand , ignoring powers of above , using the formula the others have given you:Looks scary, doesn't it? But remember that for all values of and
So, it's simply:
So if we ignore and higher powers of :(and I've left the term out now, because we don't need it anyway - I just put it there as an example)
Can you complete it now?
PS I've just read your answer to #1. Good work!