Math, asked by Hitamn, 19 days ago

If a=2012, b=2011, c=2010 then value of a²+ b²+ c² - ab - bc - ca

Answers

Answered by dayanidhisharma19

1

Answer:

3

Step-by-step explanation:

a²+ b²+ c² - ab - bc - ca

= a²+ b²+ c² + 2ab + 2bc + 2ca - 3(ab + bc + ca)

= (a² + 2ab + b²) +2c(a + b) + c² - 3(ab + bc + ca)

= (a+ b+ c)² - 3(ab + bc + ca)

= (2012+2011+2010)² - 3(2012×2011 + 2011×2010 + 2010×2012)

= 3

Answered by krishpmlak

1

Answer:

Step-by-step explanation:

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