Question
Simplify $\text{x}(3 \text{x}+2 \text{y})-\text{y}(3 \text{x}-2 \text{y}).$
✓
Answer
We have, $\text{x}(3 \text{x}+2 \text{y})-\text{y}(3 \text{x}-2 \text{y})\quad$ [using distributive law]
$=\text{x} \times 3 \text{x}+\text{x} \times 2 \text{y}-\text{y} \times 3 \text{x}+\text{y} \times 2 \text{y}$
$=3 \text{x}^2+2 \text{x} \text{y}-3 \text{x} \text{y}+2 \text{y}^2$
$=3 \text{x}^2+2 \text{y}^2-\text{x} \text{y}$
$=\text{x} \times 3 \text{x}+\text{x} \times 2 \text{y}-\text{y} \times 3 \text{x}+\text{y} \times 2 \text{y}$
$=3 \text{x}^2+2 \text{x} \text{y}-3 \text{x} \text{y}+2 \text{y}^2$
$=3 \text{x}^2+2 \text{y}^2-\text{x} \text{y}$
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