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Mathematics 18 Online
OpenStudy (k_lynn):

http://prntscr.com/86551j Simplify

OpenStudy (k_lynn):

@kropot72

OpenStudy (anonymous):

-13x^2 - 10x + 12 Would you like steps?

OpenStudy (k_lynn):

I got \[6x ^{3}-14x ^{2}+12-10x\] But I don't think that's right.

OpenStudy (anonymous):

3x^3 - 3x^3

OpenStudy (k_lynn):

@Xep can you start from the beginning?

OpenStudy (anonymous):

Yes. You can rewrite the second group as -3x^3 - 6x^2 - 10 So just do 3x^3 - 3x^3 - 7x^2 - 6x^2 + 12x - 10

Nnesha (nnesha):

^yep bec first you should distribute 2nd parentheses by negative one

OpenStudy (k_lynn):

so the + signs that were there before are canceled out now.

OpenStudy (k_lynn):

because of distributing -1

OpenStudy (anonymous):

Yes. Since you are multiplying that whole group by -1, the signs are simply reversed

OpenStudy (k_lynn):

ok.

OpenStudy (k_lynn):

I'm not sure how to combine the like terms because of the - signs.

Nnesha (nnesha):

what did you get after distributing by negative one ?

OpenStudy (k_lynn):

\[3x ^{3}-7x ^{2}+2-3x ^{3}-6x ^{2}-10x\]

Nnesha (nnesha):

yes right now just add the coefficient\[\huge\rm 3x ^{3}-7x ^{2}+2-3x ^{3}-6x ^{2}-10x\] of like terms like if like terms are -3x-4x =(-3-4)x

OpenStudy (k_lynn):

so for 3x^3 and 3x^3, when I add them together do I just have x^3?

Nnesha (nnesha):

no (3-3)X^3 3-3=0 WHAT do you get when you multiply anything by zero ?

OpenStudy (k_lynn):

0

Nnesha (nnesha):

yes so 0x^3 is just zero so that's how -3x^2 and 3x^3 cancel each other out

OpenStudy (k_lynn):

ok. So it's just kind of eliminated from the problem?

OpenStudy (k_lynn):

or cancelled from

Nnesha (nnesha):

yes right

OpenStudy (k_lynn):

\[-7x ^{2}+2-6x ^{2}-10x\] That's what's left right.

Nnesha (nnesha):

simplify there are LIKE terms combine them!

OpenStudy (k_lynn):

RIght. \[-13x ^{2}+2-10x\]

Nnesha (nnesha):

yep looks right ro you can write in standard form \[\huge\rm -13x^2-10x+2\]

OpenStudy (k_lynn):

Thanks so much!

Nnesha (nnesha):

np :)

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