Factorise :(2a - 3)^2- 2 (2a - 3) (a - 1) + (a - 1)^2 - Vidyadip

Question

Factorise $:(2a - 3)^2- 2 (2a - 3) (a - 1) + (a - 1)^2$

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Answer

$(2a - 3)^2- 2 (2a - 3) (a - 1) + (a - 1)^2$
$= [( 2a - 3 ) - ( a - 1 )]^2$
$= [ 2a - 3 - a + 1 ]^2$
$= ( a - 2 )^2$

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