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Mathematics

Factorise the following:

21x2 - 59xy + 40y2

Factorisation

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Answer

21x2 - 59xy + 40y2 = 21x2 - 35xy - 24xy + 40y2

= 7x(3x - 5y) - 8y(3x - 5y)

= (3x - 5y)(7x - 8y).

Hence, 21x2 - 59xy + 40y2 = (3x - 5y)(7x - 8y).

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