Asked by random dude

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

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Answered by GPT-4o mini
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:

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

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