Question

Ooops... I forgot the steps on how to do this.
(2x+1)(2x^2+6x=1)

Answer 1

First multply all terms in the second bracket by 2x

Answer 2

Then mutiply all terms in the second bracket by 1

Answer 3

Then collect like terms

Answer 4

Just to be safe: I believe you meant to say (2x+1)(2x^2 + 6x) = 1

Otherwise, it won't make sense.

Answer 5

no it was supposed to be (2x+1)(2x^2+6x+1)

Answer 6

Ah ok. Good thing we corrected that. :P

Answer 7

yeah, it's just the way I typed it. I can't seem to figured it out for some reason

Answer 8

still stuck?

Answer 9

yeah, I've been working on assignment for this class the last two days, I think I burned my brain out a bit.

Answer 10

ok lets go slow

Answer 11

this isn't an assignment question though, it's just been bugging me

Answer 12

\[(2x+1)(2x^2+6x+1)\] is the thing you need to multiply

Answer 13

ok

Answer 14

if you like you can write one on top of the other and multiply just like you would a 3 digit number by a 2 digit number. 6 multiplications and then additions (combining like terms)

Answer 15

but that is too cumbersome to write here, so the idea is just to multiply everything in the second parentheses by 2x and then multiply everything in the second parentheses by 1

Answer 16

we start with
\[2x(2x^2+6x+1)\]
\[=2x\times 2x^2+2x\times 6x+2x\times 1\] and get
\[4x^3+12x^2+2x\]

Answer 17

then we multiply by 1, which is a lot like doing nothing:
\[1\times (2x^2+6x+1)=2x^2+6x+1\]

Answer 18

the exponents confuse me

Answer 19

so we have
\[4x^3+12x^2+2x+2x^2+6x+1\] and now combine like terms to get
\[4x^3+14x^2+8x+1\]

Answer 20

ah when you multiply add the exponents. just like
\[10\times 100=1000\]
\[x\times x^2=x^3\]

Answer 21

huh, ok, that makes sense

Answer 22

so when you multiply
\[2x\times 2x^2\] you get
\[2\times 2\times x^1\times x^2=4\times x^{1+2}=4x^3\]

Answer 23

and similarly
\[2x\times 6x=2\times 6\times x^1\times x^1=12\times x^{1+1}=12x^2\]

Answer 24

got it?

Answer 25

yeah thanks, I was just working out similar problems to make sure i got it down