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  • a2b2=(a+b)(ab)
(a+b)(ab)=a2+abab+b2=a2b2
  • (a+b)2=a2+2ab+b2
(a+b)2=(a+b)(a+b)=a2+ab+ab+b2=a2+2ab+b2
  • (ab)2=a22ab+b2
(ab)2=(ab)(ab)=a2abab+b2=a22ab+b2
  • a2+b2=(a2b2)+2ab=(a2+b2)2ab