Multiplying binomial by a trinomial now.
Equation in comments

- andriod09

Multiplying binomial by a trinomial now.
Equation in comments

- chestercat

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- andriod09

(4x^3-y^4)(3x+4x^8-9)

- andriod09

@ganeshie8

- ganeshie8

same method, we distribute term by term

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## More answers

- ganeshie8

\((4x^3-y^4)(3x+4x^8-9) \)

- ganeshie8

\((\color{green}{4x^3}-y^4)(\color{green}{3x+4x^8-9}) \)

- andriod09

I can't see equation using the buttons.

- ganeshie8

first distribute 3x^3, then \(-y^4\)

- ganeshie8

ohh i think there is some bug, its not working properly i heard mods were saying equation editor not working properly

- andriod09

(4x^3-y^4)(3x+4x^8-9) is the equation.

- ganeshie8

hmm didnt get u

- andriod09

you put (3x^3) its (4x^3)

- ganeshie8

oh gotcha :)

- ganeshie8

lol that was a typpo.. nothing to do wid editor hehe
\( (\color{green}{4x^3}-y^4)(\color{green}{3x+4x^8-9}) \)

- andriod09

okay.

- ganeshie8

yea distribute \(4x^3\) first

- andriod09

okay.

- andriod09

is it:
(12x^3+16x^11y^5-36x^3)?

- ganeshie8

\((\color{green}{4x^3}-y^4)(\color{green}{3x+4x^8-9}) \)
\(\color{green}{4x^3}(\color{green}{3x+4x^8-9}) - y^4(3x+4x^8-9) \)

- andriod09

I can't see the equations used from the buttons! please just type them! im totally confunsed. :/

- ganeshie8

oh you cant see the latex thats frustrating

- andriod09

all i see is \((\color{})(\color{}{}) \) but fulled with the equation

- ganeshie8

(4x^3 - y^4)(3x+4x^8-9)
4x^3(3x+4x^8-9) - y^4(3x+4x^8-9)

- andriod09

anyhoo, i have (12x^3+16x^11y^5-36x^3)

- ganeshie8

is that better

- andriod09

yea, thank you i can read it now! :)

- ganeshie8

4x^3(3x+4x^8-9) - y^4(3x+4x^8-9)
(12x^4 + 16x^11 - 36x^3) - (3xy^4 + 4x^8y^4 - 9y^4)

- andriod09

i have to condense my paper, give me a second.

- ganeshie8

(12x^4 + 16x^11 - 36x^3- 3xy^4 - 4x^8y^4 + 9y^4)

- ganeshie8

ok if u see any like terms, just add them. i think somthing went wrong in ur answer.. . check :)

- andriod09

for which part of the equation though?

- ganeshie8

i dont see any like terms. so thats it i hope

- ganeshie8

(12x^4 + 16x^11 - 36x^3- 3xy^4 - 4x^8y^4 + 9y^4)

- andriod09

12x^4 + 16x^11- 36x^3, 3xy^4 - 4x^8y^. are all like terms

- ganeshie8

why do u think they are like terms

- andriod09

they are all the same i.e. (x)^4,(x)^11,(-x)^3; (xy)^4,(x)^8(y)^4

- andriod09

@ganeshie8

- ganeshie8

(x)^4 and (x)^11 are not like terms

- ganeshie8

to be called as like terms, terms should satisfy two things-
1) variable letters, for example x, y
2) exponent of variables

- ganeshie8

terms listed by you are satisfying first condition.
but they are failing second condition

- ganeshie8

if u see,
(x)^4,(x)^11
first one has an exponent of 4, and second one has an exponent of 11
so they are not like terms. we cant add them

- andriod09

oh but they are. they are both (x)s. so by that, all you would do is att the exponets and the numerals.

- ganeshie8

for addition, BOTH variable(x)s and exponents(4, 11) MUST be equal
for multiplication, variables must be equal.

- ganeshie8

|dw:1348066341953:dw|

- andriod09

@myininaya Hold on ima get a moderator to see whos right. i don't doubt you or anything, i just think that because they are both (x)s, then they could be added.

- ganeshie8

|dw:1348066394415:dw|

- ganeshie8

hmm

- andriod09

How? |dw:1348066447218:dw|

- ganeshie8

|dw:1348066558698:dw|

- ganeshie8

first row you cannot add,
second row terms you can add

- andriod09

|dw:1348066611963:dw|

- ganeshie8

|dw:1348066641503:dw|

- ganeshie8

exponent must match, then only they are called like-terms, like-terms we can add

- andriod09

@Callisto @cshalvey @myininaya @amistre64

- andriod09

I don't get it though, lets see if we can get a mod in here to help me explain it.

- ganeshie8

ok

- andriod09

@Callisto @cshalvey @myininaya @amistre64

- andriod09

@Callisto @cshalvey @myininaya @amistre64

- andriod09

callisto, can you explain how (x)^4and(x)^11and(-x)^3(stop)(xy)^4And(x)^8(y)^4 arn't like terms? the (stop) seperates two different types of variables

- andriod09

@ganeshie8

- Callisto

@ganeshie8 has explained it actually. For like terms, the unknown variable should be the same, and of the same power. For instance, x^4 and x^5 are not like term. Even though they share the same variable, their powers are not the same. So, we cannot do addition or subtraction for these two terms.

- andriod09

but to be a like term, they have to be the SAME variable though, so wouldn't you add the exponites? x^4+x^5=x^9??

- Callisto

To be a like terms, there are TWO conditions:
1. same variable
2. same variable of the SAME POWER
For x^4 and x^5, they have the same variable x. I think you agree on that. But the problem comes when they fail to meet the SECOND condition, that is they do NOT share the SAME power - for x^4, the power of x is 4; for x^5, the power of x is 5.
So, in this case, they CANNOT be added together nor subtraction from each other.

- Callisto

Perhaps you should know this:
x^a + x^b â‰ x^(a+b)
BUT!
(x^a) (x^b) = x^(a+b) when x is a non-zero real number and a, b are integers.

- andriod09

Ohh. I MUST FAIL EPICLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

- Callisto

It's okay!

- andriod09

no. i fail epicly. its a fact of life

- Callisto

It's okay... When you don't fail again!

- Callisto

So, do you understand it now?

- andriod09

What about the 12x^3 and the -36^3? arn't they like terms?

- andriod09

wait, never mind. i fail......... AGAIN

- Callisto

They are the like terms, aren't they?

- andriod09

i forgot the the 4x^3*3x=12x^4 not ^3

- andriod09

Hi hartnn

- Callisto

Oh.. Just be careful next time :)

- andriod09

i will

- hartnn

u won't fail @andriod09 , u are learning from great teachers @ganeshie8 and @Callisto :)

- andriod09

@hartnn ik its just that i NEVER see the slightest thing, whether in math or irl, it makes me annoyed

- hartnn

practice and u will become good........

- andriod09

ik i will. Thanks.
|dw:1348068458083:dw|

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