Question

Find the following square by using the identities

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

4x²y² + 20xy² + 25y²

Explanation:

(a + b)² = a² + 2ab + b²

a = 2xy ; b = 5y

(2xy +5y)² = (2xy)² + 2*(2xy) * (5y) +(5y)²

= 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²

=4x²y² + 20xy² + 25y²