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Simplifying expressions is very practical as it can make calculations much faster or help solve equations. Several formulas can be used to simplify expressions. We will gradually introduce some of them with their geometric interpretation. This interpretation should help us deduce these formulas when we need them.

Let’s look at three useful formulas while simplifying the following expressions:

$(a+b)^{2} - a^2 - b^2$

$\frac{a^2+2ab+b^2}{a+b}$