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Select the expressions that are equivalent to 3(6x)3(6x). \newlineMulti-select Choices:\newline(A) (3x)6(3x)6\newline(B) 18x18x\newline(C) 3+6x3 + 6x\newline(D) 3(x+5x)3(x + 5x)

Full solution

Q. Select the expressions that are equivalent to 3(6x)3(6x). \newlineMulti-select Choices:\newline(A) (3x)6(3x)6\newline(B) 18x18x\newline(C) 3+6x3 + 6x\newline(D) 3(x+5x)3(x + 5x)
  1. Distribute 33 across 6x6x: Simplify the expression 3(6x)3(6x) by distributing the 33 across 6x6x.\newlineCalculation: 3×6x=18x3 \times 6x = 18x
  2. Compare to given choices: Compare the simplified expression to the choices given.\newline(A)(3x)6=3x×6=18x(3x)^6 = 3x \times 6 = 18x, but this is incorrect because it should be 3×6x3 \times 6x, not 3x×63x \times 6

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