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

Answer 1

To rewrite the expression \( 2(x + 1)(x + 2) \), you can expand it. First, multiply the binomials \( (x + 1) \) and \( (x + 2) \):

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

Now, multiply this result by 2:

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

So, another way to write the expression \( 2(x + 1)(x + 2) \) is:

\[ 2x^2 + 6x + 4 \]