Factorise :
5x2 - 4xy - 12y2
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= 5x2 - (10 - 6)xy - 12y2
= 5x2 - 10xy + 6xy - 12y2
= (5x2 - 10xy) + (6xy - 12y2)
= 5x(x - 2y) + 6y(x - 2y)
= (x - 2y)(5x + 6y)
Hence,5x2 - 4xy - 12y2 = (x - 2y)(5x + 6y)
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