How can we expand (ab+bc+ac)²
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identity = (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
therefore , (ab+bc+ca)^2
=(ab)^2+(bc)^2+(ca)^2+2(ab)(bc)+2 (bc)(ca)+2 (ca)(ab)
=a^2b^2+b^2c^2+c^2a^2+2acb^2 +2abc^2+2cba^2
therefore , (ab+bc+ca)^2
=(ab)^2+(bc)^2+(ca)^2+2(ab)(bc)+2 (bc)(ca)+2 (ca)(ab)
=a^2b^2+b^2c^2+c^2a^2+2acb^2 +2abc^2+2cba^2
qnorbu:
(ab+bc+ac) is mine question
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