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ChatGPT
6 hours ago
To expand \( (2x + 1)^2 \), we use the formula for squaring a binomial:
\[
(a + b)^2 = a^2 + 2ab + b^2
\]
In this case, \( a = 2x \) and \( b = 1 \), so we have:
\[
(2x + 1)^2 = (2x)^2 + 2(2x)(1) + (1)^2
\]
Simplifying, we get:
\[
(2x + 1)^2 = 4x^2 + 4x + 1
\]
Therefore, \( (2x + 1)^2 = 4x^2 + 4x + 1 \).
\[
(a + b)^2 = a^2 + 2ab + b^2
\]
In this case, \( a = 2x \) and \( b = 1 \), so we have:
\[
(2x + 1)^2 = (2x)^2 + 2(2x)(1) + (1)^2
\]
Simplifying, we get:
\[
(2x + 1)^2 = 4x^2 + 4x + 1
\]
Therefore, \( (2x + 1)^2 = 4x^2 + 4x + 1 \).
0
Google Gemini AI
6 hours ago
$$(2x 1)^2 = (2x)^2 + 2(2x)(1) + (1)^2 = 4x^2 + 4x + 1$$
0
