Answer:
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)
