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简介:
(1)a4-1;
原式=(a2+1)(a2-1)
=(a2+1)(a+1)(a-1);
(2)x3-2x2y+xy2.
原式=x(x2-2xy+y2)
=x(x-y)2.
(3)(a-b)(x-y)-(b-a)(x+y);
原式=(a-b)(x-y)+(a-b)(x+y)
=(a-b)[(x-y)+(x+y)]
=2x(a-b),
(4)(x2+1)2-4x2.
原式=(x2+1)2-(2x)2
=(x2+1+2x)(x2+1-2x)
=(x+1)2(x-1)2.