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\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y \] this?
yes that one
we have a monster version of PEMDAS
is there any guide i should follow in order to get the correct answer? I always come up with different answers
let's do it the order of operations way which is deal with the parenthesis first ...but this is a mega one so we need to be careful
\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y\] ok I can't change the color of the font x.x but let's try dealing with \[\large -(4x-3(y-2x))\] first
there's is () but we also have another ()... do the inner () first
don't forget to distribute the negative too because it's on the right hand side of the equation ^^ so what's -3 times y and -3 times -2x
okay im following
can you please answer what is -3 multiplied by y and -3 multiplied by -2x ? i'm not supposed to give direct answers
-3y + 6x
\[\large - (4x-3y+6x)\]
correct... now what's 4x+6x
\[\large - (-3y+10x)\] now distribute the negative
3y - 10x
super! we got that part out of the way... so time to bring back the equation and put that instead of that super long 4x- laallaa
\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y \] \[\large 9x-6(4x-2(x+2y))+3y-10x+ 14y\]
\[\large -6(4x-2(x+2y)) \] now we deal with this mega parenthesis.. again do the inner () first
\[\large -6(4x-2x-4y) \]
combine like terms
ok.. we've distributed ^_^ no problem.. but we still need to combine like terms for x
-12x + 24y
\[\large -6(4x-2x-4y) \] \[\large -6(2x-4y) \rightarrow -12x+24y\] correct now we replace that monster equation we had earlier to this simple one
\[\large 9x-12x+24y+3y-10x+ 14y\]
now we rearrange them ... having all x's first and then y's last
-13x+41y? is this it?
by the way, is it possible that the 1st term be negative? or i should interchange their position like 41y-13x
\[\large 9x-12x+24y+3y-10x+ 14y \] \[\large 9x-12x-10x+24y+3y+ 14y\] \[\[\large 9x-12x-10x+24y+3y+ 14y\] \rightarrow -13x+41y\] well order doesn't matter so you can either have -13x + 41y or 41y -13x
nugh latex nOO! -13x+41y is what I got in the end
thank you very much sensei....
and guess what? I've checked with wolfram alpha and it agrees with us! YAY!
order doesn't matter ... as long as the numerical values are correct xD....can I get a medal?
how to give a medal? im beginner here
oh you just click on best response on the top left of my postings.
there is a best response button right next to the medal (0)
there we go :)
thank you again sensei....