Simplify: $(x - y) (x - 2 y)$

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Solution

Simplifying the algebraic expression
Multiplication of two binomials: Multiply each term of one binomial with each term of the other binomial and combine the like terms in the product.
$\begin{array}{rcl} (x - y) (x - 2 y) & = & x . x - x . 2 y - y . x + y . 2 y \\ = & x^{2} - 2 x y - x y + 2 y^{2} \\ = & x^{2} - 3 x y + 2 y^{2} \end{array}$
Therefore, the simplified result is $x^{2} - 3 x y + 2 y^{2}$ .

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