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Question

Factorise:64-25x2+60xy-36y2

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Solution

64 - 25x2 + 60xy - 36y2

= (8)2 - [25x2 - 60xy + 36y2]

= (8)2 - [(5x)2 - 2(5x)(6y) + (6y)2]

= (8)2 - (5x - 6y)
( a - b ) ^2 = a^2 - 2ab + b^2

​​​​​​= [8 - (5x - 6y)] [8 + (5x - 6y)]

(a^2 - b^2) = (a-b)(a+b)

= (8 - 5x + 6y) (8 + 5x - 6y)


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