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Which expression is equivalent to 3(b+2)3(b + 2)?\newlineChoices:\newline(A) 5b5b\newline(B) 6b+36b + 3\newline(C) 6b6b\newline(D) 3b+63b + 6

Full solution

Q. Which expression is equivalent to 3(b+2)3(b + 2)?\newlineChoices:\newline(A) 5b5b\newline(B) 6b+36b + 3\newline(C) 6b6b\newline(D) 3b+63b + 6
  1. Distribute 33: We need to distribute the 33 across the terms inside the parentheses.3(b+2)=3b+323(b + 2) = 3\cdot b + 3\cdot 2
  2. Perform multiplication: Now we perform the multiplication.\newline3×b=3b3 \times b = 3b\newline3×2=63 \times 2 = 6\newlineSo, 3(b+2)=3b+63(b + 2) = 3b + 6
  3. Compare with choices: We compare the result with the given choices. The expression 3b+63b + 6 matches with choice (D).

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