(x+1)(x+3)(x-2)(x-4)+24以及(x2y2+1)(x2y2-3)-14以及m2-2mn-3n2+3m-
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(x+1)(x+3)(x-2)(x-4)+24以及(x2y2+1)(x2y2-3)-14以及m2-2mn-3n2+3m-5n+2注:x2代表x的平方
(x+1)(x+3)(x-2)(x-4)+24
=[(x+1)(x-2)][(x+3)(x-4)]+24
=(x^2-x-2)(x^2-x-12)+24
=(x^2-x-7+5)(x^2-x-7-5)+24
=(x^2-x-7)^2-1
=(x^2-x-6)(x^2-x-8)
=(x-3)(x+2)(x^2-x-8)
第二题后面是+4吧?
(x^2*y^2+1)(x^2*y^2-3)+4
=(x^2*y^2)^2-2x^2*y^2+1
=(x^2*y^2-1)^2
=(xy+1)^2(xy-1)^2
m^2-2mn-3n^2+3m-5n+2
=(m-3n)(m+n)+2(m-3n)+(m+n)+2
=(m-3n)(m+n+2)+(m+n+2)
=(m+n+2)(m-3n+1)
=[(x+1)(x-2)][(x+3)(x-4)]+24
=(x^2-x-2)(x^2-x-12)+24
=(x^2-x-7+5)(x^2-x-7-5)+24
=(x^2-x-7)^2-1
=(x^2-x-6)(x^2-x-8)
=(x-3)(x+2)(x^2-x-8)
第二题后面是+4吧?
(x^2*y^2+1)(x^2*y^2-3)+4
=(x^2*y^2)^2-2x^2*y^2+1
=(x^2*y^2-1)^2
=(xy+1)^2(xy-1)^2
m^2-2mn-3n^2+3m-5n+2
=(m-3n)(m+n)+2(m-3n)+(m+n)+2
=(m-3n)(m+n+2)+(m+n+2)
=(m+n+2)(m-3n+1)
(x+1)(x+3)(x-2)(x-4)+24以及(x2y2+1)(x2y2-3)-14以及m2-2mn-3n2+3m-
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