Mathematics

Factorise :

x(6x - 5y) - 4(6x - 5y)2

Factorisation

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Answer

Given,

    x(6x - 5y) - 4(6x - 5y)2

= (6x - 5y)[x - 4(6x - 5y)]

= (6x - 5y)(x - 24x + 20y)

= (6x - 5y)(20y - 23x).

Hence, x(6x - 5y) - 4(6x - 5y)2 = (6x - 5y)(20y - 23x).

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