Smith Burton
06/26/2024 · High School

\( \left. \begin{array} { l }{ 3 \times + = 3 \times ( \_ + } \\ { = ( 3 \times + ( 3 \times ) } \\ { = \square } \end{array} \right. \)

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It seems like you're presenting a mathematical expression with some placeholders represented by underscores and a square. Let's break it down step by step. The expression appears to be structured as follows: 1. \( 3 \times ( \_ + \_ ) \) 2. \( = ( 3 \times \_ + ( 3 \times \_ ) ) \) 3. \( = \square \) To solve this, we need to fill in the blanks (underscores) and determine what the square represents. Let's denote the first underscore as \( a \) and the second underscore as \( b \). Then we can rewrite the expressions: 1. \( 3 \times (a + b) \) 2. \( = (3 \times a + (3 \times b)) \) 3. \( = \square \) Using the distributive property of multiplication over addition, we know that: \[ 3 \times (a + b) = 3a + 3b \] Thus, both sides of the equation are equal, and we can conclude that: \[ \square = 3a + 3b \] If you have specific values for \( a \) and \( b \), you can substitute them in to find the value of \( \square \). If you need further assistance or clarification, please provide more details!

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\( \square = 3a + 3b \)
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