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Which expression is equivalent to (2g3+4)2(2g^{3}+4)^{2} ?\newlinea) 496+1649^{6}+16\newlineb) 4g6+18g3+164g^{6}+18g^{3}+16\newlinec) 496+849^{6}+8\newlined) 4g9+16g3+84g^{9}+16g^{3}+8

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Q. Which expression is equivalent to (2g3+4)2(2g^{3}+4)^{2} ?\newlinea) 496+1649^{6}+16\newlineb) 4g6+18g3+164g^{6}+18g^{3}+16\newlinec) 496+849^{6}+8\newlined) 4g9+16g3+84g^{9}+16g^{3}+8
  1. Expand Expression: Step 11: Expand the expression using the formula (a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2.\newlineCalculation: (2g^3 + 4)^2 = (2g^3)^2 + 2\cdot(2g^3)\cdot4 + 4^2\(\newline = 4g^6 + 16g^3 + 16\)
  2. Compare with Options: Step 22: Compare the expanded expression with the given options.\newlineCalculation: 4g6+16g3+164g^6 + 16g^3 + 16 matches with one of the options.

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