Question
Find the following product: $(3x + 2y - 4)(x - y)$
✓
Answer
By column method: $3\text{x}+2\text{y}-4\\\underline{{\ \ \ \ }\times (\text{x}-\text{y})\ \ \ \ }\\3\text{x}^2+2\text{yx}-4\text{x}\\\underline{\ \ \ \ \ \ -3\text{xy}-2\text{y}^2+4\text{y}\ \ \ }\\3\text{x}^2-\ \ \text{xy}-4\text{x}\ \ +4\text{y}-2\text{y}^2$
$\therefore (3\text{x}+2\text{y}-4)(\text{x}-\text{y})$
$=3\text{x}^2-\text{xy}-4\text{x}+4\text{y}-2\text{y}^2$
$\therefore (3\text{x}+2\text{y}-4)(\text{x}-\text{y})$
$=3\text{x}^2-\text{xy}-4\text{x}+4\text{y}-2\text{y}^2$
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