Simplify:
(4x - 5y) (5x - 4y)
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= 4x (5x - 4y) - 5y (5x - 4y)
= 20x(1+1) - 16xy - 25xy + 20y(1+1)
= 20x2 - 41xy + 20y2
Hence, (4x - 5y) (5x - 4y) = 20x2 - 41xy + 20y2
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(px - q) (px + q)
(5a + 5b - c) (2b - 3c)
(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)
The adjacent sides of a rectangle are x2 - 4xy + 7y2 and x3 - 5xy2. Find its area.