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Which expression is equivalent to 2z+z2z + z?\newlineChoices:\newline(A) 4z4z\newline(B) z3z^3\newline(C) 3z3z\newline(D) $z + \(3\)

Full solution

Q. Which expression is equivalent to 2z+z2z + z?\newlineChoices:\newline(A) 4z4z\newline(B) z3z^3\newline(C) 3z3z\newline(D) $z + \(3\)
  1. Given Expression: We are given the expression 2z+z2z + z and need to find an equivalent expression from the given choices.\newlineTo combine like terms, we add the coefficients of zz.\newline2z+z=(2+1)z=3z2z + z = (2 + 1)z = 3z
  2. Combine Like Terms: Now we compare our result with the given choices to find the equivalent expression.\newline(A) 4z4z is not correct because 4z4z would imply 44 times zz, not 33 times zz.\newline(B) z3z^3 is not correct because it implies zz raised to the power of 33, not zz multiplied by 33.\newline(C) 4z4z11 is correct because it is the result we obtained from adding 4z4z22 and zz.\newline(D) 4z4z44 is not correct because it implies zz plus 33, not 33 times zz.

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