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

Question

2x^2+3x+2
2x^2+5x+2
x^2+6x+2
2x^2+6x+4

Answer 1

To simplify the expression \(2(x+1)(x+2)\), we can start by expanding it step by step.

First, let's expand the binomials \((x+1)(x+2)\):

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

Now, we multiply this result by 2:

\[ 2(x^2 + 3x + 2) = 2x^2 + 6x + 4. \]

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

From the given options, the correct answer is:

2x^2 + 6x + 4.