Mathematics

Factorise :

m(x - 3y)2 + n(3y - x) + 5x - 15y

Factorisation

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Answer

Given,

    m(x - 3y)2 + n(3y - x) + 5x - 15y

= m(x - 3y)2 - n(x - 3y) + 5(x - 3y)

= (x - 3y)[m(x - 3y) - n + 5]

= (x - 3y)(mx - 3my - n + 5).

Hence, m(x - 3y)2 + n(3y - x) + 5x - 15y = (x - 3y)(mx - 3my - n + 5).

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