Asked by lol
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 \( 2(x + 1)(x + 2) \), 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:
\[
2x^2 + 6x + 4
\]
\[
(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]
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:
\[
2x^2 + 6x + 4
\]
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