The first box will be filled with [tex]x^2-2xy[/tex]
Th second box will filled with [tex]x^2+2xy[/tex]
The third box will be filled with [tex](x+y)^2[/tex]
Step-by-step explanation:
Given polynomial indentity is:
[tex](x-y)^2+4xy=(x+y)^2[/tex]
we will prove the identity one by one
So,
The first step is to open the (x-y)^2
[tex]x^2-2xy+y^2+4xy=(x+y)^2[/tex]
Combining like terms
[tex]x^2-2xy+4xy+y^2=(x+y)^2\\x^2+2xy+y^2=(x+y)^2\\[/tex]
Closing the formula
[tex](x+y)^2=(x+y)^2[/tex]
Considering the above proof
The first box will be filled with [tex]x^2-2xy[/tex]
Th second box will filled with [tex]x^2+2xy[/tex]
The third box will be filled with [tex](x+y)^2[/tex]
Keywords: Polynomial identities, Expressions
Learn more about polynomial identities at:
- brainly.com/question/10081622
- brainly.com/question/10341324
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