No democracy has ever gone to war with another democracy is it true ?

Algebraic Identities.

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  • a² – b² = (a-b)(a+b)
  • (a+b)² = a² + 2ab + b²
  • (a-b)² = a² – 2ab + b²
  • a² + b² = (a-b)² +2ab
  • (a+b+c)² = a²+b²+c²+2ab+2ac+2bc
  • (a-b-c)² = a²+b²+c²-2ab-2ac+2bc
  • a³-b³ = (a-b) (a² + ab + b²)
  • a³+b³ = (a+b) (a² – ab + b²)
  • (a+b)³ = a³+ 3a²b + 3ab² + b³
  • (a-b)³ = a³- 3a²b + 3ab² – b³
  • “n” is a natural number, an – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)
  • “n” is a even number, an + bn = (a+b) (an-1 – an-2b +….+ bn-2a – bn-1)
  • “n” is an odd number an + bn = (a-b) (an-1 – an-2b +…. – bn-2a + bn-1)
  • (am)(an) = am+n (ab)m = amn

    • Refer to this 

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    thank you

    Aanya Sharma 9C


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    No democracy has ever gone to war with another democracy is it true ?By Aanya Sharma