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

Question

?(1 point)
Responses

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

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

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

2x2+3x+2

Answer 1

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

1. Start by expanding the two binomials: \[ (x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x + 2 \]

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

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

So, the correct response is:

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