Question

What is another way to write the expression 2(x+1)(x+2) ?(1 point) Responses 2x2+6x+4 2 x squared plus 6 x plus 4 2x2+3x+2

Answer 1

To write the expression \( 2(x+1)(x+2) \) in another form, we can first expand the expression.

1. Start by multiplying the terms inside the parentheses:
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]

2. Now, multiply the entire expression by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]

Thus, another way to write the expression \( 2(x+1)(x+2) \) is \( 2x^2 + 6x + 4 \).

The correct response is:
**2x² + 6x + 4**.