Formula of a square b square c square
Asked by admin @ in Math viewed by 353 People
A square + b square + c square is equal to?
Answered by admin @
a² + b² + c² = (a+b+c)² - 2(ab + bc + ca)
The actual formula is
(a+b+c)² = a² + b² + c² +2( ab + bc + ca)
You can get this simple formula by multiplying (a+b +c) with (a+b+c).
(a+b +c)² = (a+b +c)*(a+b +c)
= a*(a+b +c) + b*(a+b +c) + c*(a+b +c)
= a² + ab + ac + ab + b² + bc + ca + bc + c²
= a² + b² + c² + 2ab + 2bc + 2ca
= a² + b² + c² + 2( ab + bc + ca)
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