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

Question

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

Answer 1

To rewrite the expression \( 2(x + 1)(x + 2) \), we first expand the product inside the parentheses and then distribute.

1. Start with the inner expression: \[ (x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x + 2 \]

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

Thus, the expression \( 2(x + 1)(x + 2) \) simplifies to:

\[ \boxed{2x^2 + 6x + 4} \]