Question

(x-4)^8

Answer 1

Are you trying to factor this?

Answer 2

what do you wana ask in this ?

Answer 3

Do you need to expand? If so, use Pascal's Triangle. You could also use binomial expansion or FOILing many times over, but I like Pascal.

1) Use the 9th line of Pascal's Triangle as your coefficients:
1-8-28-56-70-56-28-8-1

2) Now follow the pattern. The first term starts at 8 and goes in descending order. The second term starts at 0 and goes in ascending order.

It's not complete, but if you follow the pattern you'll see.
\[1x ^{8}(-4)^{0}+8x ^{7}(-4)^{1}+28x ^{6}(-4)^{2}+35x ^{5}(-4)^{3}+...+8x ^{1}(-4)^{7}+1x ^{0}(-4)^{8}\]

3) Simplify! Some teachers just want the expanded version so make sure you follow what they say.

Hope this helps! Buena suerte.