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Mathematics

Factorise :

x2y2 - 3xy - 40

Factorisation

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Answer

x2y2 - 3xy - 40

= x2y2 - (8 - 5)xy - 40

= x2y2 - 8xy + 5xy - 40

= (x2y2 - 8xy) + (5xy - 40)

= xy(xy - 8) + 5(xy - 8)

= (xy - 8)(xy + 5)

Hence, x2y2 - 3xy - 40 = (xy - 8)(xy + 5)

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