Asked by ski buddy to alert
What is another way to write the expression 2(x+1)(x+2)?
A. x^2 + 6x + 2
B. 2x^2 + 6x + 4
C. 2x^2 + 3x + 2
D. 2x^2 + 5x + 2
A. x^2 + 6x + 2
B. 2x^2 + 6x + 4
C. 2x^2 + 3x + 2
D. 2x^2 + 5x + 2
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To rewrite the expression \(2(x+1)(x+2)\), we can first expand the expression inside the parentheses and then distribute the 2.
1. Expand \((x+1)(x+2)\):
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]
2. Now, multiply the result by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]
So, the expression \(2(x+1)(x+2)\) can be rewritten as:
\[
2x^2 + 6x + 4
\]
The correct answer is:
**B. \(2x^2 + 6x + 4\)**
1. Expand \((x+1)(x+2)\):
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]
2. Now, multiply the result by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]
So, the expression \(2(x+1)(x+2)\) can be rewritten as:
\[
2x^2 + 6x + 4
\]
The correct answer is:
**B. \(2x^2 + 6x + 4\)**
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