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Select the expressions that are equivalent to 2(3g)2(3g).\newlineMulti-select Choices:\newline(A) 2(g+2g)2(g + 2g)\newline(B) (3g)2(3g)^2\newline(C) 6g6g\newline(D) 3(g×2)3(g \times 2)

Full solution

Q. Select the expressions that are equivalent to 2(3g)2(3g).\newlineMulti-select Choices:\newline(A) 2(g+2g)2(g + 2g)\newline(B) (3g)2(3g)^2\newline(C) 6g6g\newline(D) 3(g×2)3(g \times 2)
  1. Simplify expression: Simplify the original expression.\newlineCalculation: 2(3g)=6g2(3g) = 6g
  2. Compare choice (A): Compare choice (A) 2(g+2g)2(g + 2g). Calculation: 2(g+2g)=2(3g)=6g2(g + 2g) = 2(3g) = 6g
  3. Compare choice (B): Compare choice (B) (3g)2(3g)^2.\newlineCalculation: (3g)2=3g×2=6g(3g)^2 = 3g \times 2 = 6g

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