Given:
Consider the given square is
[tex](2xy+5y)^2[/tex]
To find:
The value of given square by using the identities.
Solution:
We know that,
[tex](a+b)^2=a^2+2ab+b^2[/tex] ...(i)
We have,
[tex](2xy+5y)^2[/tex]
Using the identity (i), we get
[tex](2xy+5y)^2=(2xy)^2+2(2xy)(5y)+(5y)^2[/tex]
[tex](2xy+5y)^2=4x^2y^2+20xy^2+25y^2[/tex]
Therefore, the value of given square expression is [tex]4x^2y^2+20xy^2+25y^2[/tex].
