which of the following is equivalent to $2x^{2}+4x + 3$?\nchoose 1 answer:\na $2(x + 1)^{2}+1$\nb $2(x +…

which of the following is equivalent to $2x^{2}+4x + 3$?\nchoose 1 answer:\na $2(x + 1)^{2}+1$\nb $2(x + 1)^{2}+3$\nc $2(x + 1)^{2}+5$\nd $2(x + 1)^{2}+4x + 1$

which of the following is equivalent to $2x^{2}+4x + 3$?\nchoose 1 answer:\na $2(x + 1)^{2}+1$\nb $2(x + 1)^{2}+3$\nc $2(x + 1)^{2}+5$\nd $2(x + 1)^{2}+4x + 1$

Answer

Explanation:

Step1: Expand (2(x + 1)^2)

Use the formula ((a + b)^2=a^{2}+2ab + b^{2}), where (a = x) and (b = 1). (2(x + 1)^2=2(x^{2}+2x + 1)=2x^{2}+4x + 2)

Step2: Add the constant term

(2(x + 1)^2+1=(2x^{2}+4x + 2)+1) (=2x^{2}+4x + 3)

Answer:

A. (2(x + 1)^2+1)