What is another way to write the expression 2(x+1)(x+2) ?(1 point) Responses 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 2 x squared plus 5 x plus 2 x2+6x+2

Answer 1

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

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

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

Thus, the expression \( 2(x+1)(x+2) \) can be rewritten as \( 2x^2 + 6x + 4 \), which corresponds to the option:

2 x squared plus 6 x plus 4.