Question

Simplify

(x^k + 1)^2(–x^k)^3(3x).

Answer 1

PLEASE help anyone!

Answer 2

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

Answer 3

how do you square binomials

Answer 4

Using the binomial formula... right?

Answer 5

so what does that look like?

Answer 6

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

Answer 7

No it looks differently.
It looks like this



(x ^k + 1) ^2(–x^k) ^3 (3x)

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

well you know how 2^2 = 2 times 2

Answer 13

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

Answer 14

I am sorry for confusing you

Answer 15

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

Answer 16

Yes, I understand now

Answer 17

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

Answer 18

x^k^2+2

Answer 19

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

Answer 20

Oh yes now I get it. Thanks

Answer 21

so What do you do next

Answer 22

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

Answer 23

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

Answer 24

I don't know how to continue

Answer 25

do you know what it means to FOIL?

Answer 26

yes

Answer 27

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

Answer 28

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

Answer 29

x^2

Answer 30

x^k is the first term so how do you multiply the first terms