Simplify:
(656+5+6+565)(656+5+6+565)(656+5+6+565)


Answer:

2222

Step by Step Explanation:
  1. Let us multiply the numerator and denominator of 656+5656+5 by its rationalising factor.(65)(6+5)×(65)(65)= (65)2(6+5)(65)= (6)2+(5)22×6×5(6)2(5)2[(ab)2=a2+b22ab and (a+b)(ab)=a2b2]= 6+523065= 11230
  2. Similarly, let us multiply the numerator and denominator of (6+5)(65) by its rationalising factor. (6+5)(65)×(6+5)(6+5)= (6+5)2(65)(6+5)= (6)2+(5)2+2×6×5(6)2(5)2[(a+b)2=a2+b2+2ab and (a+b)(ab)=a2b2]= 6+5+23065= 11+230
  3. Thus, (656+5+6+565)=11230+11+230=22

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