Asked by Finally Some Answers
What is another way to write the expression 2(x+1)(x+2) ?(1 point)
2x^2+3x+2
2x^2+5x+2
x^2+6x+2
2x^2+6x+4
2x^2+3x+2
2x^2+5x+2
x^2+6x+2
2x^2+6x+4
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \(2(x+1)(x+2)\), we can start by expanding it step by step.
First, let's expand the binomials \((x+1)(x+2)\):
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2.
\]
Now, we multiply this result by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4.
\]
Thus, the expression \(2(x+1)(x+2)\) can be written as \(2x^2 + 6x + 4\).
From the given options, the correct answer is:
**2x^2 + 6x + 4.**
First, let's expand the binomials \((x+1)(x+2)\):
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2.
\]
Now, we multiply this result by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4.
\]
Thus, the expression \(2(x+1)(x+2)\) can be written as \(2x^2 + 6x + 4\).
From the given options, the correct answer is:
**2x^2 + 6x + 4.**
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