mc9cs_expansion

  Express the following as a sum of perfect square:     16a2 + b2 + 9c2 – 4ab – 3bc – 12ca =1/2.(2.16a2 + 2. b2 + 2. 9c2 – 8ab – 6bc – 24ca)= 1/2.(16a2 + 16a2+ b2 + b2 + 9c2 + 9c2 – 8ab – 6bc – 24ca)= 1/2.(16a2 – 8ab + b2 + … Read more

If    a2+b2+4c2 = ab+2bc+2ca.    Prove that a = b = 2c Multiplying both side by 2 we have. 2. a2 + 2. b2 + 2.4c2 = 2.ab + 2.2bc + 2.2ca 2. a2 + 2. b2 + 2.4c2 = 2ab + 4bc + 4ca 2. a2 + 2. b2 + 2.4c2 – 2ab … Read more