Solve in the expanded form (a2+b2+c2)2
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Answer:(a^2+b^2+c^2)
(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
=(a^2)^2+(b^2)^2+(c^2)^2+2(a^2)(b^2)+2(b^2)(c^2)+2(c^2)(a^2)
=a^4+b^4+c^4+2a^2b^2+2b^2c^2+2a^2c^2
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Answer:
= a2 - 2ab + b2. Therefore, (a + b)2 + (a - b)2. = a2 + 2ab + b2 + a2 - 2ab + b2.
= 2(a2 + b2), and. (a + b)2 - (a - b)2. = a2 + 2ab + b2 - {a2 - 2ab + b2}
= 4ab. Corollaries: (i) (a + b)2 - 2ab = a2 + b2.
Step-by-step explanation:
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