create 2 problems two simplify multiplication and division with algebraic expressions
ok lets do it!
i am not exactly sure what "simplify multiplication and divsion" means you can multiply if you like, and you can divide or you can combine them
for example \[(x^2+x+1)(x+2)=x^3+3 x^2+3 x+2\] is a multiplication
oh like \[\frac{x+1}{x^2-4}\times \frac{x+2}{x^2-1}\] where you factor and cancel?
yeah exactly as long as you can simplify it i think were good
ok than we can use that example, because the denominator in both of those expressions is the difference of two square so you can write \[\frac{x+1}{x^2-4}\times \frac{x+2}{x^2-1}=\frac{(x+1)(x+2)}{(x+2)(x-2)(x+1)(x-1)}\] then cancel away
\[\frac{\cancel{(x+1)}\cancel{(x+2)}}{\cancel{(x+2)}(x-2)\cancel{(x+1)}+(x-1)}=\frac{1}{(x-2)(x-1)}\]
ooops that plus sign is a typo
okay thats fine so which one is multpication, subtraction, division and addiction can you number them lol even though i know
just four problems in all sub, and addit have to have a common denoimater
that one above was both a multiplication and a division
you want another just division?
yes sure that would be great another one
ok lets do just a division one since \((x^2+x+1)(x+2)=x^3+3 x^2+3 x+2\) if you write \[\frac{x^3+3x^2+3x+2}{x+2}\] you know the answer is \(x^2+x+1\)
so a division only problem could be \[\frac{x^3+3x^2+3x+2}{x+2}=x^2+x+1\]
now the subtraction and addition
right you work it out by doing the multiplication in advance
addition, can it be easy?
ohhhhh okay thats even better
\[\frac{x}{x+2}+\frac{3}{x+2}=\frac{x+3}{x+2}\] like that? or do the denominators have to be different?
yes it can be super easy as long as it has a common deniomater
no i like that one its perfect ( :
ok that would be an addition one you can do a subtraction one just as easily put a minus sign instead of a plus sign
or you could change it a bit, \[\frac{x}{x-3}-\frac{5}{x-3}=\frac{x-5}{x-3}\] or whatever
just post the questions here and i will help
and dont say it is a test, people get all upset
okay im about to post it now sorry let me delete that then
you can post right here if you like
i will i just dont know how its like this graph hmmmmmm
post a screen shot
im trying to do that now lol
can you see that im going to post the 3 question also
1. find the perimeter of the mansion Remember to simplify your answer by combining like terms 2.How much larger is the perimeter of the Outdoor Pool than the perimeter of the Indoor Pool? 3.Find the volume of the Outdoor Pool.
will be so helpful if you could do that( : im going to delte the other questions people be lurking
ok let me see if i can enlarge it to read it
okay ( :
is that whole weird shape the mansion?
yes lmao that is the mansion
ok we can do this but it is going to take like forever we have to multiply and add a bunch of stuff
okay well as long as you have the time im here so what stuff do we have to do explain slowly im not good with math weakest subject
damn i got logged out sorry still there?
its okay your here helping thats all that matters ( :
lol ok you have two sides that are \(6x^2\) for a total of \(12x^2\) write that down somewhere we have a lot to go
writing it now lol 6x2 and 12x2
one side is \(3x^4-2\) and there are four of those for a total of \(12x^4-8\)
just write down the \(12x^2\)
wrote it down now
one sides is \(4x^4+3x^3+x^2+4x\) and there are two of those for a total of \[8x^4+6x^3+2x^2+4x\] write that one down
wrote it down now
one side is \(3x^5+5x^4+x^3+2x^2+x+6\) and now we have to figure out how many of those there are
if we ever get disconnected email me at doogil@ymail.com lol just incase
so do i write that down to
ok i am gong to say there are 4 of those for a total of \[12x^5+20x^4+4x^3+8x^2+4x+24\] write that one down
just wrote it am i combing it with the others or just writing it separately?
okay gothca i just wrote it down
typo there \[8x^4+16x^4+16x^3+4x^2+20x\]
one more to go one corner is \(4x\) and there are 8 of those for a total of \(32x\) now we can add
hey you still here
if i didn't make a mistake it will be a miracle this question really sucks now lets see what we get when we add
okay so do i write that down ?
yeah lets write it all down this is what i got
okay so thats good then lol mistakes happen now lets add them up like you said ugggh
\[12x^2+12x^4-8+8x^4+6x^3+2x^2+4x+8x^5+16x^4+16x^3+4x^2+20x+12x^5+20x^4+4x^3+8x^2+4x+24+32x\]
oops too big to fit on one line no matter, we will add by machine
lmaoooo okay yeah i can barely see the problem
\[12x^2+12x^4-8+8x^4+6x^3+2x^2+4x\]\[+8x^5+16x^4+16x^3+4x^2+20x+12x^5+20x^4+4x^3+8x^2+4x+24+32x\]
\[20 x^5+56 x^4+26 x^3+26 x^2+60 x+16\]
thats exactly what i got for the first answer
you gotta be kidding really?
ok now i am exhausted what is the next question?
lmaooooo yes im seriously i got it
2.How much larger is the perimeter of the Outdoor Pool than the perimeter of the Indoor Pool? 3. Find the volume of the Outdoor Pool.
jeez site is messing up on me keeps closing hold one
omggg i didnt know you was sleeply okay lets hurry
not sleepy, exhausted from this problem
alright lets hurry upppp then sorry for the long problem lol
that's ok i can email if i get stuck
perimeter of outside pool is \[2(3x^5+2x)+2(3x^4-2x^2)\] lets cheat again
lolllll yes lets cheat that sounds lovely ( :
\[6 x^5+6 x^4-4 x^2+4 x\] http://www.wolframalpha.com/input/?i=2%283x^5%2B2x%29%2B2%283x^4-2x^2%29
alright so thats the answer for the second, one ( :lets cheat for the 3rd two
perimeter of inside pool is \[2(x^4+x^3-x)+2(2x^5+3x)\] oh no not yet it isn't!!
ohhh damnnnn lollll well lets keep going
we have to compute the perimeter of the inside pool, then subtract
you didn't submit that answer did you?
okay so our we done with the outside pool
noooo lolll i didnt submit it
right, now for the inside pool perimeter \[2(x^4+x^3-x)+2(2x^5+3x)\] then we have to subtract lets see what we get for the inside
okay lets substract now ( :
inside is \[4 x^5+2 x^4+2 x^3+4 x\]
\[6 x^5+6 x^4-4 x^2+4 x-(4 x^5+2 x^4+2 x^3+4 x)\]for our final answer
i mean we have to compute that one -hold on
so is the final answer for question 2 ( :
http://www.wolframalpha.com/input/?i=6+x^5%2B6+x^4-4+x^2%2B4+x-%284+x^5%2B2+x^4%2B2+x^3%2B4+x%29 \[2 x^5+4 x^4-2 x^3-4 x^2\] is what i get
alright same here but a plus sign guess i compute it wrong
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