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

Answer 1

To rewrite the expression \( 2(x+1)(x+2) \), we can start by expanding the product \( (x+1)(x+2) \).

1. Use the distributive property (also known as the FOIL method for binomials):

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

2. Next, multiply the result by 2:

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

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

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