Question

Factorize x²+4xy-3+4y²


please explain it too​

Answer 1

`\huge\boxed{\bf\:(x + 2y)^(2) - 3}`

Explanation:

`x ^ { 2 } +4xy-3+4y ^ { 2 }`

Rearrange the terms.

`x ^ { 2 } +4xy+4y ^ { 2 } - 3`

Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.

`(x + 2y)^(2) - 3`

Leave 3 as it is as 3 can't be further simplified. So, the final answer is:

`\boxed{\bf\:(x + 2y)^(2) - 3}`

`\rule{150}{2}`