Question

factorise a2 - 2ab +b2 - a + b

Answer 1

Answer:

Factorization of $a^{2} -2ab +b^{2}$-a + b is (a -b )( a - b -1)

Step-by-step explanation:

$a^{2}$-2ab+$b^{2}$ - a+ b

=($a^{2}$ -2ab +$b^{2}$) - (a - b)    (here we take minus common)

=$(a - b)^{2}$- (a - b)              ( formula used is $(a-b)^{2}$=$a^{2} - 2ab +b^{2}$)

Taking (a -b) common,

=(a - b) (a - b -1)