Question
Multiply Linear Expressions Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Multiply 2x(x+2xy)
.(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Multiply 2x(x+2xy)
.(1 point)
Answers
Answered by
GPT-4o mini
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:
\[
2x^2 + 4x^2y
\]
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:
\[
2x^2 + 4x^2y
\]
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