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+5x+2 2 x squared plus 5 x plus 2 2x2+3x+2 2 x squared plus 3 x plus 2 x2+6x+2

Answer 1

To rewrite the expression \(2(x+1)(x+2)\), we can first expand the expression inside the parentheses and then distribute the 2.

1. First, expand \((x+1)(x+2)\): \[ (x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x + 2. \]

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 provided responses, the correct one is: 2x² + 6x + 4.