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Select the expressions that are equivalent to 6(6y)6(6y).\newlineMulti-select Choices:\newline(A) 6(5y+y)6(5y + y)\newline(B) 36y36y\newline(C) y+12y + 12\newline(D) (6y)6(6y)6

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Evaluate expression when two complex numbers are givenright chevron icon

Full solution

Q. Select the expressions that are equivalent to 6(6y)6(6y).\newlineMulti-select Choices:\newline(A) 6(5y+y)6(5y + y)\newline(B) 36y36y\newline(C) y+12y + 12\newline(D) (6y)6(6y)6
  1. Simplify Expression: Simplify the given expression 6(6y)6(6y).\newlineCalculation: 6×6y=36y6 \times 6y = 36y
  2. Compare with Choice (A): Compare with choice (A) 6(5y+y)6(5y + y).\newlineCalculation: 6×(5y+y)=6×6y=36y6 \times (5y + y) = 6 \times 6y = 36y
  3. Compare with Choice (B): Compare with choice (B) 36y36y. Calculation: Directly matches the simplified expression 36y36y.
  4. Compare with Choice (C): Compare with choice (C) y+12y + 12. Calculation: This does not match the form 36y36y, as y+12y + 12 simplifies to just y+12y + 12, not a multiple of 36y36y.
  5. Compare with Choice (D): Compare with choice (D) 6y)^6\. Calculation: \$6y)^6 = 6y \times 6 = 36y^2\, which is not the same as \$36y.

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