Math, asked by falconarrow, 1 year ago

if a+b+c=0 then gind the value of a^2÷bc+b^2÷ca+c^2÷ab


gabby4623: Is that the only info given??
falconarrow: yes bro

Answers

Answered by ayushsharma3002
1
= a²/bc + b²/ac + c²/ab
= a³+b³+c³/abc
= if a+b+c =0 then,
= a³+b³+c³= 3abc
= 3abc/abc
= 3

ayushsharma3002: if this question is usefull to yoy
ayushsharma3002: you
gabby4623: I dont understand this answer
gabby4623: From the 3rd line
ayushsharma3002: now you can understood the answer
gabby4623: Nope
gabby4623: Ok ...now I do
gabby4623: You should add that: (a+b+c)³=(a³+b³+c³)+3[(a+b+c)(ab+ac+bc)+abc]
gabby4623: So that =(a³+b³+c³)+3[(a+b+c)(ab+ac+bc)−abc]
gabby4623: Never mind.... I did a more comprehensive answer myself
Answered by gabby4623
0

Answer:3


Step-by-step explanation:

a²/bc + b²/ac + c²/ab

= a³+b³+c³/abc


We know that (YOU CAN MULTIPLTY IF OUT IF YOU'D LIKE)(a+b+c)³=(a³+b³+c³)+3[(a+b+c)(ab+ac+bc)+abc]

So, (a³+b³+c³)=(a+b+c)³ + 3[(a+b+c)(ab+ac+bc)+abc]

if a+b+c =0 then,

(a³+b³+c³)=(0)³ + 3[(0)(ab+ac+bc)+abc]

Therefore a³+b³+c³= 3abc


Back to the question... a³+b³+c³/abc = 3abc/abc= 3

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