Question
Multiply: $(3x - 5y + 2)(5x - 4y - 3)$
✓
Answer
$(3x - 5y + 2)(5x - 4y - 3)$
$\Rightarrow 3x (5x - 4y - 3) - 5y (5x - 4y - 3) + 2 (5x - 4y - 3)$
$\Rightarrow 15x^2 - 12xy - 9x - 25xy + 20y^2 + 15y + 10x - 8y - 6$
$\Rightarrow 15x^2 - 12xy - 25xy - 9x + 10x + 20y^2 + 15y - 8y - 6$
$\Rightarrow 15x^2 - 37xy + x + 20y^2 + 7y - 6$
$\Rightarrow 3x (5x - 4y - 3) - 5y (5x - 4y - 3) + 2 (5x - 4y - 3)$
$\Rightarrow 15x^2 - 12xy - 9x - 25xy + 20y^2 + 15y + 10x - 8y - 6$
$\Rightarrow 15x^2 - 12xy - 25xy - 9x + 10x + 20y^2 + 15y - 8y - 6$
$\Rightarrow 15x^2 - 37xy + x + 20y^2 + 7y - 6$
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