Question

(3x-4)^3
Express as a single polynomial in standard form, and explain please!

Answer 1

Rewrite:

(3x-4)(3x-4)(3x-4)

Solve.

Answer 2

just use this formula

Answer 3

isnt (-b)^3 equal to - b^3 ?

Answer 4

oh...sorry....
(a-b)^3 = a^3 -3a^2 b +3a b^2 - b^3

Answer 5

:) better

Answer 6

Can you explain how to write it out with the numbers in it?

Answer 7

Should we bother mentioning Pascal's Triangle here?

Answer 8

I think the best way to see this is to start with the expansion that saifoo showed and start by multiplying the first two binomials together and simplifying that, then multiply by the third binomial.

Answer 9

27x^3 - 108x^2 +144x -64?

Answer 10

Looks good!

Answer 11

Do you see how that lines up with Yahoo's (a-b)^3 = a^3 -3a^2 b +3a b^2 - b^3 ?

Answer 12

Actually, yeah! They're both useful

Answer 13

Ok, now go research Pascal's Triangle and "binomial coefficients. You'll learn a lot of cool stuff.

Answer 14

lol....that will make it ugly...use...that formula

Answer 15

Heh heh, yes ugly, but in a beautiful way. He already simplified it correctly using good ol' distributive property, now it's time to 'expand' to bigger and better things.
(pun definitely intended)