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Which expression is equivalent to 6u+9u6u + 9u?\newlineChoices:\newline(A) u+15u + 15\newline(B) u15u^{15}\newline(C) 15u15u\newline(D) 16u16u

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Q. Which expression is equivalent to 6u+9u6u + 9u?\newlineChoices:\newline(A) u+15u + 15\newline(B) u15u^{15}\newline(C) 15u15u\newline(D) 16u16u
  1. Combine Like Terms: We need to combine like terms, which in this case are 6u6u and 9u9u. To combine like terms, we simply add their coefficients.\newlineCalculation: 6u+9u=(6+9)u=15u6u + 9u = (6 + 9)u = 15u
  2. Compare with Choices: Now we compare our result with the given choices to find the equivalent expression.\newline(A) u+15u + 15 is not correct because it suggests adding uu and 1515, not multiplying them.\newline(B) u15u^{15} is not correct because it suggests raising uu to the 1515th power, not multiplying uu by 1515.\newline(C) 15u15u is the correct choice because it is the result of adding the coefficients of uu from the original expression.\newline(D) uu00 is not correct because it suggests the coefficient of uu is uu22, which is not the case.

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