Question

Simplify the expression 3x(–2x + 5).

6x + 5
6x + 15
–6x2 + 5
–6x2 + 15x

Answer 1

To simplify the expression \( 3x(-2x + 5) \), we will distribute \( 3x \) to both terms inside the parentheses:

1. Distribute \( 3x \) to \( -2x \):
\[
3x \cdot (-2x) = -6x^2
\]

2. Distribute \( 3x \) to \( 5 \):
\[
3x \cdot 5 = 15x
\]

Now we combine these two results:
\[
-6x^2 + 15x
\]

So, the simplified expression is:
\[
\boxed{-6x^2 + 15x}
\]