Multiply Linear Expressions Practice

Question

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Question
Multiply 2x(x+2xy)
.(1 point)

Answer 1

To multiply the expression \(2x(x + 2xy)\), you will apply the distributive property.

1. Distribute \(2x\) to both terms inside the parentheses:

   \[ 2x \cdot x + 2x \cdot 2xy \]

2. Now, perform the multiplications:

   • For the first term: \[ 2x \cdot x = 2x^2 \]

   • For the second term: \[ 2x \cdot 2xy = 4x^2y \]

3. Combine the results:

   \[ 2x^2 + 4x^2y \]

So, the final answer is:

\[ 2x^2 + 4x^2y \]