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Select the expressions that are equivalent to 2q+q2q + q.\newlineMulti-select Choices:\newline(A) 2q2q\newline(B) 4qq4q - q\newline(C) q+q+qq + q + q\newline(D) 3q3q

Full solution

Q. Select the expressions that are equivalent to 2q+q2q + q.\newlineMulti-select Choices:\newline(A) 2q2q\newline(B) 4qq4q - q\newline(C) q+q+qq + q + q\newline(D) 3q3q
  1. Simplify expression: Step 11: Simplify the expression 2q+q2q + q.\newlineCalculation: 2q+q=3q2q + q = 3q.
  2. Compare with choices: Step 22: Compare the simplified expression with the choices. Calculation: 3q3q matches with (D) 3q3q.
  3. Check other options: Step 33: Check other options for equivalence.\newlineCalculation: (A) 2q2q is not equal to 3q3q; (B) 4qq4q - q simplifies to 3q3q, which matches; (C) q+q+qq + q + q simplifies to 3q3q, which also matches.

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