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Select the expressions that are equivalent to 4m+7m4m + 7m.\newlineMulti-select Choices:\newline(A) 10m+2m10m + 2m\newline(B) 6m+3m+2m6m + 3m + 2m\newline(C) m×11m \times 11\newline(D) m11m^{11}

Full solution

Q. Select the expressions that are equivalent to 4m+7m4m + 7m.\newlineMulti-select Choices:\newline(A) 10m+2m10m + 2m\newline(B) 6m+3m+2m6m + 3m + 2m\newline(C) m×11m \times 11\newline(D) m11m^{11}
  1. Combine Like Terms: Combine like terms in the expression 4m+7m4m + 7m.\newlineCalculation: 4m+7m=11m4m + 7m = 11m
  2. Compare with Choice (A): Compare the result with choice (A) 10m+2m10m + 2m. Calculation: 10m+2m=12m10m + 2m = 12m
  3. Compare with Choice (B): Compare the result with choice (B) 6m+3m+2m6m + 3m + 2m. Calculation: 6m+3m+2m=11m6m + 3m + 2m = 11m
  4. Compare with Choice (C): Compare the result with choice (C) m×11m \times 11.\newlineCalculation: m×11=11mm \times 11 = 11m
  5. Compare with Choice (D): Compare the result with choice (D) m11m^{11}.\newlineCalculation: m11m^{11} is not equivalent to 11m11m, it represents mm raised to the power of 1111.

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