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

Responses

2x2+5x+2
2 x squared plus 5 x plus 2

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

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

2x2+6x+4

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To rewrite the expression \( 2(x+1)(x+2) \), we first need to expand it.

1. **Multiply the binomials**:
\((x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2\).

2. **Now multiply by 2**:
\(2(x^2 + 3x + 2) = 2x^2 + 6x + 4\).

So the expression \( 2(x+1)(x+2) \) can be rewritten as \( 2x^2 + 6x + 4 \).

Among the responses given, the correct answer is:
**2x² + 6x + 4**.