Question

combine like terms. -4m + 12m please explain

Answer 1

If it is like terms, what are the coefficients?

Answer 2

Not coeficients lol the little numbers

Answer 3

See, \(m\) are attached to both the terms, so it reduces to just addition or subtraction to do this problem, just ask yourself that what is \(-4 + 12 = ??\), and with the final answer, just attach \(m\) with it.. :)

Answer 4

you said right, they are coefficients.. :)

Answer 5

yaay thank you guys so much <3 c:

Answer 6

Np

Answer 7

@steph1525 what is the answer you got? Mind telling us so that we can verify it for you?

Answer 8

I wasn't much help tho lol

Answer 9

yeah for me, they are coefficients of \(m\), what are they for you? :P

Answer 10

question @waterineyes

Answer 11

i got -4m+12 is equal too 8m c:

Answer 12

Good.. :)

Answer 13

What question ?? @50centolly

Answer 14

What is the coefficient of m stand for?

Answer 15

okay so is it the same if you are dealing with exponents?

Answer 16

what does not is lol

Answer 17

The digit or number attached to it..

Answer 18

this is kind of confusing for a 4th grader xD

Answer 19

I see

Answer 20

I am in algebra 2 thank u

Answer 21

;) i am just not good at math

Answer 22

\(14m\), here \(m\) is having \(14\) as its coefficient..

Answer 23

6t squared - 2tsquared

Answer 24

Yep, but both should be squared.. :)

Answer 25

yes but how do i figure these out? what do i do with the exponents

Answer 26

Like you have \(t^2\), so \(t^2\) should be with both the terms, then it becomes simply addition or subtraction, but don't forget to attach \(t^2\) with the final result. :)

Answer 27

What is \(6 - 2\) = ??

Answer 28

ooh so basically i subtract 6 and 2 and then add t squared

Answer 29

not add but attach..

Answer 30

yeah that c: omg u guys are so awesome c: my teacher cant even explain this to me right -_-

Answer 31

If you will add \(t^2\) with \(4\), you will get \(t^2 + 4\), you have to just attach \(t^2\) with \(4\) or you can say multiply.. :)

Answer 32

So \(6-2 = 4\), so attach \(t^2\) with it, it will give you : \(4t^2\).. Getting?

Answer 33

yeah i get it sso my next question is -5w cubed + 18w cubed and i got the answer 13w cubed

Answer 34

is that right?

Answer 35

But remember, when the terms are not like terms or they are unlike, then you can't do anything, you have to just leave the answer as it is :
Example :
If with first term you have only \(t\), and with second term you have \(t^2\), then you can't do anything with it.

Answer 36

Good, that is correct to an infinite extent. :)

Answer 37

yaay c: this is awesome learning should be this simple is school

Answer 38

For example:
If you have : \(4t - 15t^2\), now you cannot do anything with it..

Answer 39

Because they are not like terms, they will be like terms if either of them have \(t\) or \(t^2\) with them.

Answer 40

oh okay i get it so my next one is 15nsquared + 17t i just leave it as it is right?

Answer 41

Now can I give you one question so that you can practice it?

Answer 42

of course c:

Answer 43

yes leave as it is, you can't do anything more there.

Answer 44

Do this one :
\[m^2 + m^3 + 2m^3 - 4m^2 + m\]

Answer 45

yaay i got it so 4p + 4psquared i just leave as is

Answer 46

Look for the like terms, then add or subtract them, and then tell the final result.

Answer 47

You can leave that as it is but you can do some more by using Distributive Property.

Answer 48

As you can see, 4 is there in both, p is in both, so you can take common things out :
Like :
\(4p + 4p^2\)
\(4p(1 + p)\)

Answer 49

im so nervous they gave me so much extra homework because i am taking a test on friday to determine whether or not i can skip a grade i passed my language arts and science test math is next so im trying to learn asn much as possible

Answer 50

you must @steph1525

Answer 51

i know i am just so nervous :c and what about decimals like -2.6d - 3.4d

Answer 52

They are just like additions, just check for whether they are like terms or not.

Answer 53

See, they both have \(d\) with them, so they are like terms.

Answer 54

So : \(-2.6 - 3.4\) = ??

Answer 55

So, again with the final result attach \(d\) to it.

Answer 56

okay so shoould i add them because 2 negatives equals a positive no?

Answer 57

In addition, yes you will add them, but sign should remain negative, getting?

Answer 58

Like : \(-2 -3\) , you will add it first : you get : \(5\), as both are negative, so just attach \(-\) sign with 5: so finally : \(-5\).

Answer 59

so will it be -6.0d?

Answer 60

Good.. :)

Answer 61

yaaay c:

Answer 62

Just make perfect your addition or subtraction concepts, like and unlike terms can be done in a jiffy.. :)

Answer 63

okay so what about things like 4(x+9) + 5x?

Answer 64

Here comes the Distribution, which I was talking about above.

Answer 65

See, distribution means distribute outer terms to the inner terms separately.

Answer 66

See :
\[a(b+c) = ab + ac\]

Answer 67

a is multiplying with inner \(b\) and again the same a is multiplying with inner c..

Answer 68

so i multiply 4 to x and 9?

Answer 69

Then sign between them will be the same sign which was earlier in the brackets.
\[a(b-c) = ab - ac\]

Answer 70

Firstly multiply \(4\) with \(x\) ??

Answer 71

okay and that stays as 4x right

Answer 72

you will get : \(4x\) and then multiply \(4\) with \(9\) ?

Answer 73

okay 36

Answer 74

Yeah, you are going quite well, even better than me.. :)

Answer 75

So, now tell me, you will add 4x with 36, or subtract them?

Answer 76

add

Answer 77

You have \(4(x+9)\), see the sign between \(x\) and \(9\) is \)+\), so yes you will add them.

Answer 78

so the answer is 45x right?

Answer 79

Wait.

Answer 80

You got : \(4x + 36\) ? Right?

Answer 81

They are not like terms, see one is only \(36\) and with one there is \(x\), so they are unlike terms, so you can't do anything with them.

Answer 82

yes and i added and then i added the 5x at the end of the eqation because the question was 4(x+9) + 5x

Answer 83

oooohhh okay

Answer 84

so i leave that and what do i do with the 5x

Answer 85

so you get : \(4x + 36 + 5x\), now tell me what more you can do in this?

Answer 86

Hey, use your brain, there are \(x\) attached with two terms, so you should do what?

Answer 87

i can add the 4 and 5 and get 9x +36

Answer 88

Excellent.. :)

Answer 89

yaay c:

Answer 90

No matter how many problems, you have got, but I tell you, these are the basic things if you have, you can conquer any problem of Maths of your level.

Answer 91

okay i think i got this so the next one is -12d+3+14d+18 i got 2d+21 as the answer

Answer 92

you got this,. Congratulations. :)

Answer 93

yaaay i get it c: thank you so much i have been up all night worrying about this its 2 in the morning and i have been so nervous about htis but i got it c:

Answer 94

When you will get up, go through this post once again, just see what is the technique we are applying here, do some more problems related to it, you will be perfect by then. :)

Answer 95

i wrote it all as we went along im really eager to learn all of this

Answer 96

Great, it was nice talking as well as helping you.. you really interacted well, I appreciate you. :)
Good Luck for Friday's test. :)

Answer 97

thank you so much i really do appreciate it you dont even know this helped me so much and im not so scared about failing my test this was the only thing i had problems with thank you goodnight from newyork c: <3