Write the expression as a square of a binomial if possible: 9y^2+c^2d^2+6cdy

It is possible to convert the given expression into a square of a binomial and it is (3y + cd) ².

Step-by-step explanation:

We are given an expression of 9y² + c²d² + 6cdy and we have to convert it into a square of a binomial, if possible.

Now, rearranging the expression, we get

9y² + c²d² + 6cdy

= (3y) ² + (cd) ² + 2 * (3y) * (cd)

= (3y + cd) ² {Since we know the identity as (a + b) ² = a² + b² + 2ab}

Therefore, it is possible to convert the given expression into a square of a binomial and it is (3y + cd) ². (Answer)