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Mathematics

Factorise :

(2a - 3)2 - 2(2a - 3)(a - 1) + (a - 1)2

Factorisation

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Answer

Given,

    (2a - 3)2 - 2(2a - 3)(a - 1) + (a - 1)2

= [(2a - 3) - (a - 1)]2

= (2a - 3 - a + 1)2

= (a - 2)2.

Hence, (2a - 3)2 - 2(2a - 3)(a - 1) + (a - 1)2 = (a - 2)2.

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