Questions: Multiply. 9 x(2 x+7) 9 x(2 x+7)= (Simplify your answer.)

Multiply. 9 x(2 x+7) 9 x(2 x+7)= (Simplify your answer.)
Transcript text: Multiply. \[ 9 x(2 x+7) \] $9 x(2 x+7)=$ $\square$ (Simplify your answer.)
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Solution

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Solution Steps

To simplify the expression \(9x(2x+7)\), we need to apply the distributive property. This involves multiplying each term inside the parentheses by the term outside the parentheses. Specifically, multiply \(9x\) by \(2x\) and \(9x\) by \(7\), then combine the results.

Step 1: Distribute the Terms

We start with the expression \(9x(2x + 7)\). To simplify this, we apply the distributive property:

\[ 9x(2x + 7) = 9x \cdot 2x + 9x \cdot 7 \]

Step 2: Perform the Multiplication

Now, we perform the multiplication for each term:

\[ 9x \cdot 2x = 18x^2 \] \[ 9x \cdot 7 = 63x \]

Step 3: Combine the Results

Combining the results from the previous step, we have:

\[ 9x(2x + 7) = 18x^2 + 63x \]

Final Answer

The simplified expression is

\[ \boxed{18x^2 + 63x} \]

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