Question

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

Answer 1

To multiply \( 2x(x + 2xy) \), we can distribute \( 2x \) to both terms inside the parentheses:

\[
2x(x + 2xy) = 2x \cdot x + 2x \cdot 2xy
\]

Now, calculate each term:

1. For \( 2x \cdot x \):
\[
2x^2
\]

2. For \( 2x \cdot 2xy \):
\[
4xy^2
\]

Now, combine the results:

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

So, the final result is:

\[
\boxed{2x^2 + 4xy}
\]