Simplify (x^k + 1)^2(–x^k)^3(3x).

PLEASE help anyone!

ok well first what can you do with the first part, \[(X ^{k}+1)^{2}\]

how do you square binomials

Using the binomial formula... right?

so what does that look like?

is this what the whole thing looks like\[(x ^{k}+1)^{2}(-x ^{k})^{3}(3x)\]

No it looks differently. It looks like this (x ^k + 1) ^2(–x^k) ^3 (3x)

ok so what do you do with the first part (x^k+1)^2

I am not sure but, is it x^k+2 ?

not exactly, this is a hard problem, when you square binomials you use foil, have you learned that yet?

Yes I have, but I am not sure how I would use it in this equation :(

well you know how 2^2 = 2 times 2

No this sign ^ means it is in the power of... not times

I am sorry for confusing you

I understand, 2 was not a good example. how about 8^2 isn't that 8 times 8

Yes, I understand now

well when you square a binomial you do the same thing, so what do you think it will look like?

x^k^2+2

not quite, that is the most commonly missed problem. write it out (x^k+1)^2= (x^k+1)(x^k+1)

Oh yes now I get it. Thanks

so What do you do next

you simplify the other (-x^k)^3

well first foil (x^k+1)(x^k+1) this is tricky

I don't know how to continue

do you know what it means to FOIL?

yes

so is it x^2^k^2+1

let's slow down, well what is the first step, what do you do with the first terms

x^2

x^k is the first term so how do you multiply the first terms|dw:1363101530614:dw|

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