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11 February, 10:06

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

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  1. 11 February, 14:00
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    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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