Question

4. Simplify (5x 2 + 3x2) + (4x + 3)

Is it 3x2 + 9x + 1 or 3x2 + 9x - 1 ???

Answer 1

*The 3x2s should be 3x^2s
Sorry!

Answer 2

I'm not sure I'm getting it..
\[
(5x^2 + 3x^2) + (4x + 3) = 8x^2 + 4x + 3
\]
But I don't see any use for the ()s in here... What am I missing?

Answer 3

the () are there just to emphasize grouping

Answer 4

still.... I don't see any reason to group anything.. especially the second part.

Answer 5

well... lemme put it this way.. if you take a driving test, they put some orange cones about the road
you could say... what's up with those orange cones in the road, why can't I just drive about the street?

well the idea is that, the cones are there just to represent such

so, it's just a red herring

Answer 6

Right, so is is 3x^2 + 9x + 1 or 3x^2 + 9x - 1 ?

Answer 7

I can't tell if it's addition or subtraction

Answer 8

Eh idk... There are many cases that I would see why grouping is good, not this time.. again, especially the second part.
btw, do you see a way to simplify this any further? I can't..
I could say that 3 and 1 are the components of 3.. and just in case 3 + 1 = 4.. but I can't find anyway to get the coeffecient of x^2 to be 8 with (ax+c)(bx+d)

Answer 9

hmmm you can factor it, but I don't think it's required

Answer 10

the grouping in this case, I assume it's because is algebra 1 or so, thus is reasonable

Answer 11

Well, meg.. I don't get any of those results as I said. Am I solving the right expression?

Answer 12

\(\bf (5x^2 + 3x^2) + (4x + 3)\implies \color{blue}{5x^2 + 3x^2}+4x + 3\\ \quad \\
\color{blue}{8x^2}+4x + 3\)

Answer 13

what, colors?! damn I should learn latex better...