(1)4ab-3ac+8b-6c=
5个回答
(1)4ab-3ac+8b-6c
=a[4b-3c]+2[4b-3c]
=[4b-3c][a+2]
(2)ab-5bc-2a^2+10ac=
=b[a-5c]-2a[a-5c]
=[a-5c][b-2a]
(3)x^3-2x^2+2x-1=
=[x^3-1]-2x[x-1]
=[x-1][x^2+x+1]-2x[x-1]
=[x-1][x^2+x+1-2x]
=[x-1][x^2-x+1]
(4)x^2-y^2-z^2-2yz=
=x^2-[y^2+2yz+z^2]
=x^2-[y+z]^2
=[x+y+z][x-y-z]
(5)a^3+a^2+b^3+b^2+2ab=
=[a^3+b^3]+[a^2+2ab+b^2]
=[a+b][a^2-ab+b^2]+[a+b]^2
=[a+b][a^2-ab+b^2+a+b]
(6)1+(a+b)+(a+b)^2+(a+b)^3=
=[1+(a+b)]+(a+b)^2[1+(a+b)]
=[1+(a+b)][1+(a+b)^2]
=[1+a+b][1+a^2+2ab+b^2]
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