The product of 5x+6y and 3x-2y is
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(5x+6y) × (3x-2y)
By using distributive property,
(a+b)(c-d) = a(c-d) + b(c-d)
According to the question,
= 5x(3x-2y) + 6y(3x-2y)
= 15x² - 10xy + 18xy - 12y²
= 15x² + 8xy - 12y²
= 15x² + 5xy + 3xy - 12y²
= 5x(3x + y) + 3y(x - 4y)
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