Questions: Simplify the expression. x(2x+3) 2x+3 5x 2x^2+3x 2x^2+3

Transcript text: Simplify the expression. \[ x(2 x+3) \] $2 x+3$ $5 x$ $2 x^{2}+3 x$ $2 x^{2}+3$

Solution

Solution Steps

To simplify the expression $ x(2x + 3) $, we need to distribute $ x $ to both terms inside the parentheses. This involves multiplying $ x $ by $ 2x $ and $ x $ by $ 3 $.

Step 1: Distribute $ x $ to Each Term Inside the Parentheses

To simplify the expression $ x(2x + 3) $, we distribute $ x $ to both terms inside the parentheses: \[ x(2x + 3) = x \cdot 2x + x \cdot 3 \]

Step 2: Perform the Multiplication

Next, we perform the multiplication for each term: \[ x \cdot 2x = 2x^2 \] \[ x \cdot 3 = 3x \]

Step 3: Combine the Results

Finally, we combine the results from the previous step: \[ x(2x + 3) = 2x^2 + 3x \]

Final Answer

The simplified expression is: \[ \boxed{2x^2 + 3x} \]

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