Question

What is another way to write the expression 2(x+1)(x+2)
?(1 point)
Responses

x2+6x+2
x squared plus 6 x plus 2

2x2+3x+2
2 x squared plus 3 x plus 2

2x2+6x+4
2 x squared plus 6 x plus 4

2x2+5x+2

Answer 1

To simplify the expression \( 2(x+1)(x+2) \), we'll first expand it:

1. **Distribute \( (x+1)(x+2) \)**:
\[
(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]

2. **Multiply by 2**:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]

So, the expression \( 2(x+1)(x+2) \) simplifies to \( 2x^2 + 6x + 4 \).

Thus, the correct option is:
**2x^2 + 6x + 4 (2 x squared plus 6 x plus 4)**.