Question

how to answer (x + 2y)²​

Answer 1

Before we solve the given problem, let us know some algebraic identities first:

• $(a+b)^{2}=a^{2}+2ab+b^{2}$

• $(a-b)^{2}=a^{2}-2ab+b^{2}$

• $a^{2}+b^{2}=(a+b)^{2}-2ab$

• $a^{2}+b^{2}=(a-b)^{2}+2ab$

• $a^{2}-b^{2}=(a+b)(a-b)$

Step-by-step explanation:

To find the expanded form of $(x+2y)^{2}$, we use one of the suitable identities given above.

Now, $(x+2y)^{2}$

$=(x)^{2}+2(x)(2y)+(2y)^{2}$

$=x^{2}+4xy+4y^{2}$

Answer:

$\quad (x+2y)^{2}=x^{2}+4xy+4y^{2}$