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Which expressions are equivalent to x+2y+x+2 ? Choose all answers that apply: A 2(x+y+1) B 2x+4y+4 c. None of the above

Which expressions are equivalent to x+2y+x+2 x+2 y+x+2 ?\newlineChoose all answers that apply:\newlineA 2(x+y+1) 2(x+y+1) \newlineB 2x+4y+4 2 x+4 y+4 \newlinec. None of the above

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Identify arithmetic and geometric sequencesright chevron icon

Full solution

Q. Which expressions are equivalent to x+2y+x+2 x+2 y+x+2 ?\newlineChoose all answers that apply:\newlineA 2(x+y+1) 2(x+y+1) \newlineB 2x+4y+4 2 x+4 y+4 \newlinec. None of the above
  1. Simplify Expression: Simplify the given expression x+2y+x+2x + 2y + x + 2. Combine like terms.\newlineCalculation: x+x+2y+2=2x+2y+2x + x + 2y + 2 = 2x + 2y + 2
  2. Compare with Option A: Compare the simplified expression with option A: 2(x+y+1)2(x + y + 1).
    Calculation: 2(x+y+1)=2x+2y+22(x + y + 1) = 2x + 2y + 2
  3. Compare with Option B: Compare the simplified expression with option B: 2x+4y+42x + 4y + 4.
    Calculation: 2x+4y+4≠2x+2y+22x + 4y + 4 \neq 2x + 2y + 2

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