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Why does $(a+b)^2= a^2+b^2 + 2ab$? Why is the $2ab$ there?

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P.d.f of the absolute value of a normally distributed variable

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$E[X(X-1)]$ of a Binomial random variable

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Probability with unknown variables

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Probability Interview Question - Brain teaser

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How do I calculate quantity to minimize long-run average total cost?

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Counting overlapping figures

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Finding the optimal combination for the Cobb-Douglas function given a budget

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Find the sum $1^2+3^2+…+(2n-1)^2$ without induction

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Is there a symbol for the antidiagonal matrix that has 1 as every entry?

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