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Mathematics

Simplify:

(4x - 5y) (5x - 4y)

Algebraic Expressions

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Answer

(4x - 5y) (5x - 4y)

= 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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