Multiplying binomial by a trinomial now. Equation in comments

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Multiplying binomial by a trinomial now. Equation in comments

Mathematics
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(4x^3-y^4)(3x+4x^8-9)
same method, we distribute term by term

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\((4x^3-y^4)(3x+4x^8-9) \)
\((\color{green}{4x^3}-y^4)(\color{green}{3x+4x^8-9}) \)
I can't see equation using the buttons.
first distribute 3x^3, then \(-y^4\)
ohh i think there is some bug, its not working properly i heard mods were saying equation editor not working properly
(4x^3-y^4)(3x+4x^8-9) is the equation.
hmm didnt get u
you put (3x^3) its (4x^3)
oh gotcha :)
lol that was a typpo.. nothing to do wid editor hehe \( (\color{green}{4x^3}-y^4)(\color{green}{3x+4x^8-9}) \)
okay.
yea distribute \(4x^3\) first
okay.
is it: (12x^3+16x^11y^5-36x^3)?
\((\color{green}{4x^3}-y^4)(\color{green}{3x+4x^8-9}) \) \(\color{green}{4x^3}(\color{green}{3x+4x^8-9}) - y^4(3x+4x^8-9) \)
I can't see the equations used from the buttons! please just type them! im totally confunsed. :/
oh you cant see the latex thats frustrating
all i see is \((\color{})(\color{}{}) \) but fulled with the equation
(4x^3 - y^4)(3x+4x^8-9) 4x^3(3x+4x^8-9) - y^4(3x+4x^8-9)
anyhoo, i have (12x^3+16x^11y^5-36x^3)
is that better
yea, thank you i can read it now! :)
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)
i have to condense my paper, give me a second.
(12x^4 + 16x^11 - 36x^3- 3xy^4 - 4x^8y^4 + 9y^4)
ok if u see any like terms, just add them. i think somthing went wrong in ur answer.. . check :)
for which part of the equation though?
i dont see any like terms. so thats it i hope
(12x^4 + 16x^11 - 36x^3- 3xy^4 - 4x^8y^4 + 9y^4)
12x^4 + 16x^11- 36x^3, 3xy^4 - 4x^8y^. are all like terms
why do u think they are like terms
they are all the same i.e. (x)^4,(x)^11,(-x)^3; (xy)^4,(x)^8(y)^4
(x)^4 and (x)^11 are not like terms
to be called as like terms, terms should satisfy two things- 1) variable letters, for example x, y 2) exponent of variables
terms listed by you are satisfying first condition. but they are failing second condition
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
oh but they are. they are both (x)s. so by that, all you would do is att the exponets and the numerals.
for addition, BOTH variable(x)s and exponents(4, 11) MUST be equal for multiplication, variables must be equal.
|dw:1348066341953:dw|
@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.
|dw:1348066394415:dw|
hmm
How? |dw:1348066447218:dw|
|dw:1348066558698:dw|
first row you cannot add, second row terms you can add
|dw:1348066611963:dw|
|dw:1348066641503:dw|
exponent must match, then only they are called like-terms, like-terms we can add
I don't get it though, lets see if we can get a mod in here to help me explain it.
ok
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
@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.
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??
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.
Perhaps you should know this: x^a + x^b ≠ x^(a+b) BUT! (x^a) (x^b) = x^(a+b) when x is a non-zero real number and a, b are integers.
Ohh. I MUST FAIL EPICLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
It's okay!
no. i fail epicly. its a fact of life
It's okay... When you don't fail again!
So, do you understand it now?
What about the 12x^3 and the -36^3? arn't they like terms?
wait, never mind. i fail......... AGAIN
They are the like terms, aren't they?
i forgot the the 4x^3*3x=12x^4 not ^3
Hi hartnn
Oh.. Just be careful next time :)
i will
u won't fail @andriod09 , u are learning from great teachers @ganeshie8 and @Callisto :)
@hartnn ik its just that i NEVER see the slightest thing, whether in math or irl, it makes me annoyed
practice and u will become good........
ik i will. Thanks. |dw:1348068458083:dw|

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