Question

how do you simplify this without multiplying them all together? any help is appreciated

(2x)^5 (5) (x^2+x+1)^4 (2x+1) + (x^2+x+1)^5 (5) (2x)^4 (2)

Answer 1

take (x^2 + x + 1)^4 common first

Answer 2

then take (2x^4) common

Answer 3

ull be left with

(x^2 + x + 1)^4(2x)^4 [ (2x)(5)(2x+1) + (x^2 + x + 1)(5)(2)]

Answer 4

take 10 common

Answer 5

10(x^2 + x + 1)^4(2x)^4 [ (x)(2x+1) + (x^2 + x + 1)]

now simplify the inner part

Answer 6

this might sound dumb..but where are you getting 10 from?

Answer 7

take out 2 * 5 from both terms in the inner bracket

Answer 8

got it?

Answer 9

i think

Answer 10

try

Answer 11

oh ya cause youre just multiplying the 2 and 5

Answer 12

yes..bingo

Answer 13

so now simplify the inner part

Answer 14

i honestly dont know what bracket you start at because i was never taught how to do this properly

Answer 15

u know how to separate common factors>?

Answer 16

yes

Answer 17

ohk...now in ur problem ur adding two terms..they have some common factors...
one of em is (x^2 + x + 1)^4
another is (2x)^4
another is 10
isnt it>?

Answer 18

correct

Answer 19

then take all of em out common...

Answer 20

so can you get rid of the (x^2 + x+1) (the one on the right) and make the (x^2+x+1)^4 a (x^2+x+1)^3??

Answer 21

u get rid of the (x^2 + x + 1)^4 directly

Answer 22

how though?

Answer 23

u take out (x^2 + x + 1)^4 from both

ur left with (x^2 + x + 1) in one term and 1 in the other term rnt u?

Answer 24

courteney??

Answer 25

yea

Answer 26

u get it?

Answer 27

for the most part..i just dont get how you take the (x^2+x+1)^4 from both sides if its only on one side

Answer 28

on the second term u have (x^2 + x + 1)^5 dont u?

isnt it equal to (x^2 + x + 1)^4 * (x^2 + x + 1)????

Answer 29

ohhhh ok ok! i get it!

Answer 30

now take the rest of em out like this until u cant do it anymor

Answer 31

so the (2x)^5 and (2x)^4 can just become (2x)??

Answer 32

(2x)^5 becomes 2x and (2x)^4 becomes 1