Problem 38

Question

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$6(3 x-2)$$

Step-by-Step Solution

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Answer

The algebraic expression $6(3x - 2)$ without parentheses is $18x - 12$.

1Step 1: Distribute the 6 to the term 3x

Multiply 6 by 3x to get $18x$.

2Step 2: Distribute the 6 to the term -2

Now multiply 6 by -2 to get $-12$. Keep the negative sign as is after the multiplication.

3Step 3: Write the final result

After distributing, combine the two results $18x$ and $-12$ to get the final answer $18x - 12$. This final expression is equivalent to the original expression, but without parentheses.

Problem 38

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