HELP ME PLS:) -(-2x^6y^7)^3 (x^2-y^2)^3
I'm here again! hahah.
how great GOD is, hehehe.. so lucky today..
\[(8x^{18}y^{21}) (x^4 -2x^2y^2 +y^4)(x^2 - y^2) \]
Hahah. I know, right?
LOL.
Then
then?:)
\[(8x^{18}y^{21})(x^6 -2x^4y^2 +x^2y^4 -x^4y^2 +2x^2y^4-y^6)\]
in \[(2x^6-y^7)^3\] i get 8x^18-12x^12y^7+6x^6y^14-y^21 i think im wrong
then just distribute it. I'm tired of typing. :))
how did you get that?
\[ 8x^18- 4x^12y^7 +4x^{12}y^7 -2x^6y^{14} + 2x^6y^14-y^21 \]
my ans. in (x^2-y^2)^3 is \[x^6-3x^4y^2+3x^2y^4-y^6 \]
I think. LOL
Oh right right. LOL. Sorry.
am i right?
Yeah. And I'm wrong. XD
what is your goal? multiply out?
I gotta go now. For real. hahah.
satellite, yeah!
ok first off first term is \[8x^{18}y^{21}\]
then?
that is just cubing the first term. then you have to expand the second term. then you have to multiply
i cant clearly understand:(
ok you have two things here. one is \[-(-2x^6y^7)^3\] yes?
and when we cube it we get what i wrote above namely \[8x^{18}y^{21}\]
multiply the exponents and cube the 2 and there are two minus signs so we remove them
the next term is \[(x^2-y^2)^3\] and when you cube this thing you get \[x^6-3 x^4 y^2+3 x^2 y^4-y^6\]
you can multiply twice if you like or you can use \[(a+b)^3=a^3+3a^2b+3ab^3+b^3\] with \[a=x^2,b=-y^2\]
how are we doing so far?
it doesnt mean that im going to multiply the terms in itself? for example 1st term... am i not going to multiply by itself thrice? when it doesnt have operations?
heheheh:) what's the next step?
not sure exactly what you mean but \[(x^2-y^2)^3=(x^2-y^2)(x^2-y^2)(x^2-y^2)\] and when you multiply out and combine like terms you get \[x^6-3 x^4 y^2+3 x^2 y^4-y^6\]
last step is to write \[8x^{18}y^{21}(x^6-3 x^4 y^2+3 x^2 y^4-y^6)\] and multiply out using distributive law
i get that.. now I know.. thank you:) i already forgot my 2nd yr. lesson.. thank you very much:)
just do the for multiplications adding the exponents as you go. when you are finished you should have \[8 x^{24} y^{21}-24 x^{22} y^{23}+24 x^{20} y^{25}-8 x^{18} y^{27}\]
good luck
is that when we are adding in algebraic ex. we cannot add the terms if they have different exponents?
that is the final answer?
this is the final answer
yes you cannot add the terms if the have different exponents....the terms are linearly independent
Join our real-time social learning platform and learn together with your friends!