Question
Multiply: $(2x - 3y)(2x + 3y)$
✓
Answer
$(2x - 3y)(2x + 3y)$
$\Rightarrow 2x (2x + 3y) - 3y(2x + 3y)$
$\Rightarrow 2x \times 2x + 2x \times 3y - 3y \times 2x - 3y \times 3y$
$\Rightarrow 4x^2 + 6xy - 6xy - 9y^2$
$\Rightarrow 4x^2 + 0 - 9y^2$
$\Rightarrow 4x^2 - 9y^2$
$\Rightarrow 2x (2x + 3y) - 3y(2x + 3y)$
$\Rightarrow 2x \times 2x + 2x \times 3y - 3y \times 2x - 3y \times 3y$
$\Rightarrow 4x^2 + 6xy - 6xy - 9y^2$
$\Rightarrow 4x^2 + 0 - 9y^2$
$\Rightarrow 4x^2 - 9y^2$
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