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Distribute to create an equivalent expression with the fewest symbols possible. 6(a+2b+3c)=

Distribute to create an equivalent expression with the fewest symbols possible.\newline6(a+2b+3c)= 6(a+2 b+3 c)=

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Q. Distribute to create an equivalent expression with the fewest symbols possible.\newline6(a+2b+3c)= 6(a+2 b+3 c)=
  1. Apply Distributive Property: Apply the distributive property to multiply 66 by each term inside the parentheses.\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we apply it as follows:\newline\(6(a+22b+33c) = 66\cdot a + 66\cdot 22b + 66\cdot 33c
  2. Perform Multiplication: Perform the multiplication for each term.\newlineNow we multiply 66 by each term:\newline6×a=6a6\times a = 6a\newline6×2b=12b6\times 2b = 12b\newline6×3c=18c6\times 3c = 18c
  3. Combine Results: Combine the results to write the final expression.\newlineThe final expression, after distributing 66 over each term, is:\newline6a+12b+18c6a + 12b + 18c

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