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message 1:
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Madelyn (Maddie)
(new)
Jun 14, 2024 07:52AM

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prove ( a + b + c )^ 3 – a^ 3 – b^ 3 – c^ 3 = 3 ( a + b ) ( b + c ) ( c + a )


oh well its okay

prove ( a + b + c )^ 3 – a^ 3 – b^ 3 – c^ 3 = 3 ( a + b ) ( b + c ) ( c + a )"
w8 i can try

-> (a+b+c)^3 = (a+b)^3 + 3(a+b)(c)(a+b+c) +c^3
-> = a^3 + 3ab(a+b) +b^3 + 3(a+b)(c)(a+b+c) + c^3
[taking a+b as one unit and c as one]
LHS = ( a + b + c )^ 3 – a^ 3 – b^ 3 – c^ 3
Solving LHS:
( a + b + c )^3 – a^3 – b^3 – c^3 = [a^3 + 3ab(a+b) +b^3 + 3(a+b)(c)(a+b+c) + c^3] – a^3 – b^3 – c^3
= 3ab(a+b) + 3(a+b)(c)(a+b+c)
= 3(a+b) [ab + c(a+b+c)]
= 3(a+b) [ab + ac + bc +c^2]
= 3(a+b) [a(b+c) + c(b+c)]
= 3(a+b)(b+c)(a+c) = RHS

-> (a+b+c)^3 = (a+b)^3 + 3(a+b)(c)(a+b+c) +c^3
-> = a^3 + 3ab(a+b) +b^3 + 3(a+b)(c)(a+b+c) + c^3
[taking a+b as one unit and c as one]
LHS = ( a + b + c )^ 3 – a..."
tsmmmm

its okayy its identities stuff 😭

NO STOP BCS WE HAD TO DO THAT IN THE FIRST WEEKS AND WORD EXACTLY-
I DON’T EVEN KNOW WHAT BRO IS YAPPING ABOUT IN HIS PARAGRAPHS EXPLAINING SUM ANGLE RELATIONSHIPS 😭😭😭✋✋✋

(x+2)^2=49
x+2=7 (taking square root on both sides)
x=7-2
x=5
as far as ik this should be it loll but I'm not sure maybe u can check if the answer matches

message 39:
by
totoro (semi-ia) ౨ৎ˚⟡, geometry girlie//ask me anything in my topic!
(new)
I agree with pierce it’s worded really weirdly!! I’m going to solve it under the assumption that that’s all it is and it’s not about losing money by the hour or something 😭😭
OPTION ONE
the girl buys lemons at 4:00 and sells them at 5:00
- gains $1
this probably isn’t the answer
OPTION TWO
the girl buys 4 lemons for $3 and sells 5 lemons for $4
to solve this you need to find the unit price for lemons, or what one lemon costs. take number of lemons (4) and divide by price ($3) to get what one lemon costs (1.333 repeating; just say 1.3 tbh)
now that we know the unit price of lemons is $1.30, we can figure out what 5 lemons costs. Simply multiply 1.3 by 5 to get 6.5, which we turn into $6.50. Since 5 lemons are worth $6.50, and the girl is selling them for $4, she loses $2.50.
- loses $2.50
this doesn’t actually account for the fact that she supposedly only bought 4 lemons, but that’s more of a thing with the question not making sense. if you worded it more condensed for Goodreads, I think this is the answer!
OPTION ONE
the girl buys lemons at 4:00 and sells them at 5:00
- gains $1
this probably isn’t the answer
OPTION TWO
the girl buys 4 lemons for $3 and sells 5 lemons for $4
to solve this you need to find the unit price for lemons, or what one lemon costs. take number of lemons (4) and divide by price ($3) to get what one lemon costs (1.333 repeating; just say 1.3 tbh)
now that we know the unit price of lemons is $1.30, we can figure out what 5 lemons costs. Simply multiply 1.3 by 5 to get 6.5, which we turn into $6.50. Since 5 lemons are worth $6.50, and the girl is selling them for $4, she loses $2.50.
- loses $2.50
this doesn’t actually account for the fact that she supposedly only bought 4 lemons, but that’s more of a thing with the question not making sense. if you worded it more condensed for Goodreads, I think this is the answer!
message 40:
by
totoro (semi-ia) ౨ৎ˚⟡, geometry girlie//ask me anything in my topic!
(new)
Apple wrote: "Hear me out, as a valedictorian i am not able to solve this and im on the verge of pulling my hair out, so HELP
A girl buys lemons at 4 for $3 and sells them at 5 for $4. How much loss or gain doe..."
answered! i'm assuming you're in some sort of algebra, if you're in algebra 2 or up I might not be solving it right. congratulations on valedictorian btw!!
A girl buys lemons at 4 for $3 and sells them at 5 for $4. How much loss or gain doe..."
answered! i'm assuming you're in some sort of algebra, if you're in algebra 2 or up I might not be solving it right. congratulations on valedictorian btw!!
message 41:
by
totoro (semi-ia) ౨ৎ˚⟡, geometry girlie//ask me anything in my topic!
(new)
Apple wrote: "your neighbor totoro wrote: "I agree with pierce it’s worded really weirdly!! I’m going to solve it under the assumption that that’s all it is and it’s not about losing money by the hour or somethi..."
oh idk then! i'll try to work backwards from the answer and find the method. quick question, is the problem originally written in a different currency than united states dollars? because that's what i'm solving with but when I look up the problem it autocompletes to a different currency? idk lol
i've found a version of this question where they want a percentage of loss and gain and it equals to around 6%. is there any additional information around that question? or is this a different question than the one it's autocorrecting to (Rs)?
oh idk then! i'll try to work backwards from the answer and find the method. quick question, is the problem originally written in a different currency than united states dollars? because that's what i'm solving with but when I look up the problem it autocompletes to a different currency? idk lol
i've found a version of this question where they want a percentage of loss and gain and it equals to around 6%. is there any additional information around that question? or is this a different question than the one it's autocorrecting to (Rs)?
message 42:
by
totoro (semi-ia) ౨ৎ˚⟡, geometry girlie//ask me anything in my topic!
(new)
genuinely one of the most diabolical math questions I have ever seen 😔😔 congrats on valedictorian!!