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Which expression is equivalent to 5u+4u5u + 4u?\newlineChoices:\newline(A) u+9u + 9\newline(B) u9u^9\newline(C) 9u9u\newline(D) 8u8u

Full solution

Q. Which expression is equivalent to 5u+4u5u + 4u?\newlineChoices:\newline(A) u+9u + 9\newline(B) u9u^9\newline(C) 9u9u\newline(D) 8u8u
  1. Combine like terms: We are asked to find an expression equivalent to the sum of 5u5u and 4u4u. To do this, we combine like terms by adding the coefficients of uu.\newlineCalculation: 5u+4u=(5+4)u=9u5u + 4u = (5 + 4)u = 9u
  2. Compare with choices: Now we compare our result with the given choices to find the equivalent expression.\newline(A) u+9u + 9 is not correct because it suggests adding uu and 99, not multiplying them.\newline(B) u9u^9 is not correct because it suggests raising uu to the 99th power, not multiplying uu by 99.\newline(C) 9u9u is correct 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 sum of the coefficients is uu11, not 99.

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