Question

can anyone explain this ?​

Answer 1

Answer:

We know that, a²+2ab+b² = (a+b)²

Now, x²+4xy+4y² = (x)²+2(x)(2y)+(2y)² = (x+2y)²

$\frac{ {x}^{2} + 4xy + 4 {y}^{2} }{x + 2y} = \frac{ {(x + 2y)}^{2} }{(x + 2y)} = \boxed{(x + 2y)} ✓$

Therefore, (x+2y) is the right answer.

Answer 2

Answer:

We know that, a²+2ab+b² = (a+b)²

Now, x²+4xy+4y² = (x)²+2(x)(2y)+(2y)² = (x+2y)²

\begin{gathered} \frac{ {x}^{2} + 4xy + 4 {y}^{2} }{x + 2y} = \frac{ {(x + 2y)}^{2} }{(x + 2y)} = \boxed{(x + 2y)} ✓\\ \end{gathered}x+2yx2+4xy+4y2=(x+2y)(x+2y)2=(x+2y)✓

Therefore, (x+2y) is the right answer