Write as a square of a binomial: 0.48xy+36y2+0.16x2

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  (6y +0.4x)²

Step-by-step explanation:

Find the terms that are perfect squares and take their square roots. Combine those terms using the sign of the "xy" term.

The square terms are 36y² and 0.16x². Respectively, their roots are 6y and 0.4x. The sign of the xy term is positive, so the square you're looking for can be written ...

  (6y +0.4x)² = 36y² +0.48xy +0.16x²

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