11 multiple choice 1 point simplify: (2x + 1)^2 4x^2 + 1 2x^2 + 1 4x^2 + 2x + 1 4x^2 + 4x + 1

Explanation:

Step1: Apply the formula $(a + b)^2=a^{2}+2ab + b^{2}$

Here $a = 2x$ and $b = 1$, so $(2x+1)^{2}=(2x)^{2}+2\times(2x)\times1+1^{2}$

Step2: Simplify each term

$(2x)^{2}=4x^{2}$, $2\times(2x)\times1 = 4x$, and $1^{2}=1$. So $(2x)^{2}+2\times(2x)\times1+1^{2}=4x^{2}+4x + 1$

Answer:

D. $4x^{2}+4x + 1$