Factorization: (1) X2 - (y2-2y + 1); (2) A2 (X-Y) + B2 (Y-X); (3) 4x3y + 4x2y2 + XY3; (4) (a + 2) (A-8) + 25

Factorization: (1) X2 - (y2-2y + 1); (2) A2 (X-Y) + B2 (Y-X); (3) 4x3y + 4x2y2 + XY3; (4) (a + 2) (A-8) + 25


(1)x2-(y2-2y+1),=x2-(y-1)2,=(x+y-1)(x-y+1);(2)a2(x-y)+b2(y-x),=a2(x-y)-b2(x-y),=(x-y)(a2-b2),=(x-y)(a+b)(a-b);(3)4x3y+4x2y2+xy3,=xy(4x2+4xy+y2),=xy(2x+y)2...



Factorization, (a-b) (X-Y) - (B-A) (X-Y)
(a-b)(x-y)-(b-a)(x+y)


(a-b)(x-y)-(b-a)(x-y)
=(a-b)(x-y)+(a-b)(x-y)
=2(a-b)(x-y)
(a-b)(x-y)-(b-a)(x+y)
=(a-b)(x-y)+(a-b)(x+y)
=(a-b)(x-y+x+y)
=2x(a-b)