Question

According to the distributive property which is which expression is equivalent to 4X + 8x squared plus 12x

Answer 1

To find an equivalent expression to \( 4x + 8x^2 + 12x \) using the distributive property, we first combine like terms.

The like terms in this expression are \( 4x \) and \( 12x \):

\[
4x + 12x = 16x
\]

Now, we can rewrite the expression:

\[
8x^2 + 16x
\]

Now, we can factor out the greatest common factor, which is \( 8x \):

\[
8x(x + 2)
\]

So, the expression \( 4x + 8x^2 + 12x \) simplifies to \( 8x(x + 2) \) when using the distributive property.

Thus, an equivalent expression is:

\[
8x(x + 2)
\]