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Which expression is equivalent to 8(3j)8(3j)?\newlineChoices:\newline(A) j+11j + 11\newline(B) j+24j + 24\newline(C) 24j24j\newline(D) 3j+83j + 8

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Q. Which expression is equivalent to 8(3j)8(3j)?\newlineChoices:\newline(A) j+11j + 11\newline(B) j+24j + 24\newline(C) 24j24j\newline(D) 3j+83j + 8
  1. Distribute 88: Distribute the 88 to the term inside the parentheses.\newlineWe have the expression 8(3j)8(3j), which means 88 times 3j3j.\newlineSo, we multiply 88 by 3j3j.\newline8×3j=24j8 \times 3j = 24j
  2. Compare with choices: Compare the result with the given choices.\newlineWe found that 8(3j)=24j8(3j) = 24j.\newlineNow we look at the choices to find the equivalent expression.\newline(A) j+11j + 11 is not correct because it does not represent the multiplication of 88 and 3j3j.\newline(B) j+24j + 24 is not correct for the same reason as (A).\newline(C) 24j24j is the correct choice because it is the result of the multiplication we performed.\newline(D) 3j+83j + 8 is not correct because it suggests addition rather than multiplication.

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