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)

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step-by-step explanation:

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step-by-step explanation: