Question

If I was simplifying (4x^3 + 3x^2 − 6x) − (10x^3 + 3x^2)

would the answer be 14x^3 + 6x^2 - 6x

Answer 1

becareful of the "-"

Answer 2

no 4-10 =-6 just check

Answer 3

it distributes thru the (...) and flips all the signs

Answer 4

Distributing a '-' is more like distributing a '-1'. Got it?

Answer 5

For example, \(-(2x + 3) \Longrightarrow -1(2x + 3) \Longrightarrow (-1)(2x) + (-1)(3) \)
Which gets you \(-2x - 3\).

Answer 6

so (10x^3 + 3x^2) is now (-10x^3 - 3x^2)?

Answer 7

correct

Answer 8

Exactly!

Answer 9

okay, is the first part left alone?

Answer 10

Yep.

Answer 11

it helps me to stack things up

(4x^3 + 3x^2 − 6x)
− (10x^3 + 3x^2)


4x^3 + 3x^2 − 6x
-10x^3 - 3x^2
--------------------
then just combine

Answer 12

It has no '-' sign. It instead has a + sign, which means distributing a +1.

\(+(a -b) = +1(a - b) = +a - b = a-b\)

Answer 13

would the answer be -6x^3 - x^2 - 6x? or is it a positive x^2

Answer 14

4x^3 + 3x^2 − 6x
-10x^3 - 3x^2
--------------------

Answer 15

what is 3-3?

Answer 16

Remember: \(3x^2 - 3x^2 = 0\)

Answer 17

so would it just be eliminated from the problem or just be like x or something?

Answer 18

That comes right from \[3x^2 - 3x^2 \rightarrow (3 - 3)x^2 \rightarrow 0x^2 = 0 \]

Answer 19

Yeah, it'd just get removed like breeze.

Answer 20

0x^2 = 0 by the rule that says when we multiply by zero we end up with zero

Answer 21

Okay! I understand, thank you guys so much it means a lot!

Answer 22

good luck :)

Answer 23

You're welcome :)
I was just a sidekick for amistre heh

Answer 24

Parth is my conscience, when i go mathically astray he laughs at me lol

Answer 25

I need a dictionary for that at the moment. Be right back!

Answer 26

go - it is the present tense of went ;)

Answer 27

lol :)