Answer:
[tex]\huge\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]
Step-by-step explanation:
[tex]x ^ { 2 } +4xy-3+4y ^ { 2 }[/tex]
Rearrange the terms.
[tex]x ^ { 2 } +4xy+4y ^ { 2 } - 3[/tex]
Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.
[tex](x + 2y)^{2} - 3[/tex]
Leave 3 as it is as 3 can't be further simplified. So, the final answer is:
[tex]\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]
[tex]\rule{150}{2}[/tex]
