将下列各式分解因式 :a^2-b^2-4a+4b ac+2ab-bc-a^2-b^2 a^2+b^2-c^2-d^2-2
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将下列各式分解因式 :a^2-b^2-4a+4b ac+2ab-bc-a^2-b^2 a^2+b^2-c^2-d^2-2ab+2cd x^2+y^2-1-2xy
还有(2x^2-3x)(2x^2-3x-1)-2
a^2-b^2-4a+4b ac+2ab-bc-a^2-b^2
a^2+b^2-c^2-d^2-2ab+2cd x^2+y^2-1-2xy
还有(2x^2-3x)(2x^2-3x-1)-2
a^2-b^2-4a+4b ac+2ab-bc-a^2-b^2
a^2+b^2-c^2-d^2-2ab+2cd x^2+y^2-1-2xy
a^2-b^2-4a+4b
=a^2-4a+4-b^2+4b-4
=(a+2)^2-(b-2)^2
=[(a+2)+(b-2)][(a+2)-(b-2)]
=(a+b)(a-b+4)
ac+2ab-bc-a^2-b^2
=ac-bc-a^2+2ab-b^2
=c(a-b)-(a-b)^2
=(a-b)[c-(a-b)]
=(a-b)(c-a+b)
a^2+b^2-c^2-d^2-2ab+2cd
=a^2-2ab+b^2-c^2+2cd-d^2
=(a-b)^2-(c-d)^2
=[(a-b)+(c-d)][(a-b)-(c-d)]
=(a-b+c-d)(a-b-c+d)
x^2+y^2-1-2xy
=x^2-2xy+y^2-1
=(x-y)^2-1
=(x-y+1)(x-y-1)
=a^2-4a+4-b^2+4b-4
=(a+2)^2-(b-2)^2
=[(a+2)+(b-2)][(a+2)-(b-2)]
=(a+b)(a-b+4)
ac+2ab-bc-a^2-b^2
=ac-bc-a^2+2ab-b^2
=c(a-b)-(a-b)^2
=(a-b)[c-(a-b)]
=(a-b)(c-a+b)
a^2+b^2-c^2-d^2-2ab+2cd
=a^2-2ab+b^2-c^2+2cd-d^2
=(a-b)^2-(c-d)^2
=[(a-b)+(c-d)][(a-b)-(c-d)]
=(a-b+c-d)(a-b-c+d)
x^2+y^2-1-2xy
=x^2-2xy+y^2-1
=(x-y)^2-1
=(x-y+1)(x-y-1)