Question: Given two randOm variables X and Y, prove that var[X + Y] = var[X] + var[Y] + 2cm;[X, Y] where cov[X, Y] is the covariance

![Y] = var[X] + var[Y] + 2cm;[X, Y] where cov[X, Y] is](https://s3.amazonaws.com/si.experts.images/answers/2024/06/66747c7cd3040_07666747c7cba620.jpg)
Given two randOm variables X and Y, prove that var[X + Y] = var[X] + var[Y] + 2cm;[X, Y] where cov[X, Y] is the covariance between X and Y
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