Question

Simplify the expressions below. Write the final product in standard form and show your work to receive full credit.

1) 2x^4(4x^2 + 3x + 1)
2) (4x – 3)(2x^2 – 7x + 1)
3) (x^2 + 4x – 3)(2x^2 + x + 6)

Answer 1

That's wrong lol.

Answer 2

@rebeccaskell94

Answer 3

only way to simplify #1 is to factor out that quadratic expression in the parenthesis

Answer 4

what do you mean

Answer 5

factor out 4x^2 + 3x + 1

Answer 6

7x^2 + 1?

Answer 7

did you just add? that's not how it works

Answer 8

you cant add x^2 and x

Answer 9

o.O

Answer 10

I don't get it.

Answer 11

Multiply?

Answer 12

wait...i'll show you why you can't add...okay....let me show you why...let's say we have x^2 + x ....x can be any number right?

Answer 13

I'd say 1, but yeah.

Answer 14

Then it would be x^3

Answer 15

what do you mean 1?

Answer 16

I'd say x as 1.

Answer 17

hmm 1 really cant be used for proving...so we'll use 2...according to your theory it will be x^3...let's say x is 2 so x^3 = 2^3 = 2x 2 x2= 8

BUT x^2 + x is equal to 2^2 + 2 = 4 + 2 = 6...see why you cant add?

Answer 18

anyway on to factoring now that that's cleared

Answer 19

4x^2 + 3x + 1

that is also equal to 4x^2 + 2x + x + 1 right??

Answer 20

no..

Answer 21

no? why not?

Answer 22

Why would you put x by it's self from 3x??

Answer 23

3x = 2x + x

Answer 24

Like, 4x^2 + 3x + 1. Why would you take 1x from 2x put the x by it's self and have just an x?

Answer 25

I'm so confused.q

Answer 26

but it has 3x. . . why say 3x is 2x + x..

Answer 27

because 3 = 2 + 1

Answer 28

3x = 2x + 1x
3 = 2 + 1

seeing it?

Answer 29

Yeah.

Answer 30

2x4(4x2 + 3x + 1)

Answer 31

so you're good with that now? 3x = 2x + x?

Answer 32

2x^
4(4x^2 + 3x + 1)

Answer 33

Ugh yeah I am

Answer 34

4x^2 + 2x + x + 1 <---that's equal to 4x^2 + 3x + 1

Answer 35

ok

Answer 36

now we "factor out" 2x from 4x^2 + 2x

4x^2 + 2x = 2x(2x +1) agree?

Answer 37

But it doesn't ask me to factor them out, it just asks me to put them in standard form and show my work..

Answer 38

it says simplify o.O

Answer 39

Oh. okay..

Answer 40

if it's just standard form then what the answerer said about 8x^6 + 6x^5 + 2x^4 is right

Answer 41

this question is weird o.O asks to simplify at the same time put in standard form @_@

Answer 42

Simplify the expressions below. Write the final product in standard form and show your work to receive full credit.

Answer 43

The FINAL product in standard form...

Answer 44

im sorry my brain is fried today...lemme get you someone else @_@ @ParthKohli please help

Answer 45

:[ okay.

Answer 46

See, you basically do two things here:

1) You can first multiply the term outside the bracket with the terms inside.
2) You can first do quadratic grouping and keep the term outside the bracket.

Answer 47

I don't get it..