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Which of the following is equivalent to 
3x-6y ?
Choose 1 answer:
(A) 
-3xy
(B) 
3(x-6y)
(c) 
3(x-2y)
(D) 
3(x+2y)

Which of the following is equivalent to 3x6y 3 x-6 y ?\newlineChoose 11 answer:\newline(A) 3xy -3 x y \newline(B) 3(x6y) 3(x-6 y) \newline(C) 3(x2y) 3(x-2 y) \newline(D) 3(x+2y) 3(x+2 y)

Full solution

Q. Which of the following is equivalent to 3x6y 3 x-6 y ?\newlineChoose 11 answer:\newline(A) 3xy -3 x y \newline(B) 3(x6y) 3(x-6 y) \newline(C) 3(x2y) 3(x-2 y) \newline(D) 3(x+2y) 3(x+2 y)
  1. Problem Understanding: Understand the problem.\newlineWe need to find an expression equivalent to 3x6y3x-6y from the given options.
  2. Common Factors: Look for common factors in the expression 3x6y3x-6y.\newlineBoth terms in the expression 3x6y3x-6y have a common factor of 33.
  3. Factoring Out: Factor out the common factor from the expression. \newline3x6y=3(x)3(2y)=3(x2y)3x-6y = 3(x) - 3(2y) = 3(x - 2y)
  4. Matching Choices: Match the factored expression with the given choices.\newlineThe factored expression 3(x2y)3(x - 2y) matches with choice (C).

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