Question

Find the following square by using the identities

`(2xy + 5y) {?}^(2)`
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Answer 1

Given:

Consider the given square is

`(2xy+5y)^2`

To find:

The value of given square by using the identities.

Solution:

We know that,

`(a+b)^2=a^2+2ab+b^2` ...(i)

We have,

`(2xy+5y)^2`

Using the identity (i), we get

`(2xy+5y)^2=(2xy)^2+2(2xy)(5y)+(5y)^2`

`(2xy+5y)^2=4x^2y^2+20xy^2+25y^2`

Therefore, the value of given square expression is
`4x^2y^2+20xy^2+25y^2`.