Which algebraic expression is equivalent to (2x = 1)^2

Question

A. 2x^2 + 1

B. 4x^2 + 1

C. 2x^2 + 2x + 1

D. 4x^2 + 4x +1

Answer 1

(2x + 1)²       can be expanded to

 

(2x + 1)(2x + 1)

 

 

Using FOIL, we obtain

 

4x² + 2x + 2x + 1 =

 

4x² + 4x + 1

 

 

Answer choice (D).