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Which expression is equivalent to 4g+g4g + g?\newlineChoices:\newline(A) 4g4g\newline(B) g5g^5\newline(C) 5g5g\newline(D) g+5g + 5

Full solution

Q. Which expression is equivalent to 4g+g4g + g?\newlineChoices:\newline(A) 4g4g\newline(B) g5g^5\newline(C) 5g5g\newline(D) g+5g + 5
  1. Combine Like Terms: Combine like terms.\newlineTo combine like terms, we add the coefficients of the terms that have the same variable. In this case, we have 4g4g and gg, which both have the variable gg.\newline4g+g=(4+1)g=5g4g + g = (4 + 1)g = 5g
  2. Match with Choices: Match the result with the given choices.\newlineWe have found that 4g+g4g + g is equivalent to 5g5g. Now we need to see which choice matches our result.\newline(A) 4g4g - This is not correct because it does not include the additional gg.\newline(B) g5g^5 - This is not correct because it represents gg raised to the fifth power, not 55 times gg.\newline(C) 5g5g - This is correct because it represents 4g4g plus another gg.\newline(D) 5g5g11 - This is not correct because it adds 55 to gg, not 55 times gg.

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