有分.(1)8a^3-b^3(2)4x^4-13x^2+9(3)a^4b-a^2b^3+a^3b^2-ab^4(4)x^
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有分.
(1)8a^3-b^3
(2)4x^4-13x^2+9
(3)a^4b-a^2b^3+a^3b^2-ab^4
(4)x^3+2x+3
(5)x^2-y^2-x+1/4
(6)3x^2+4xy+y^2
(1)8a^3-b^3
(2)4x^4-13x^2+9
(3)a^4b-a^2b^3+a^3b^2-ab^4
(4)x^3+2x+3
(5)x^2-y^2-x+1/4
(6)3x^2+4xy+y^2
(1)8a^3-b^3
=(2a-b)(4a^2+2ab+b^2)
(2)4x^4-13x^2+9
=(4x^2-9)(x^2-1)
=(2x-3)(2x+3)(x-1)(x+1)
(3)a^4b-a^2b^3+a^3b^2-ab^4
=a^2b(a^2-b^2)+ab^2(a^2-b^2)
=ab(a-b)^2(a+b)
(4)x^3+2x+3
=x^3+1+2(x+1)
=(x+1)(x^2-x+1)+2(x+1)
=(x+1)(x^2-x+3)
(5)x^2-y^2-x+1/4
=(x-1/2)^2-y^2
=(x-y-1/2)(x+y-1/2)
(6)3x^2+4xy+y^2
=(3x+y)(x+y)
=(2a-b)(4a^2+2ab+b^2)
(2)4x^4-13x^2+9
=(4x^2-9)(x^2-1)
=(2x-3)(2x+3)(x-1)(x+1)
(3)a^4b-a^2b^3+a^3b^2-ab^4
=a^2b(a^2-b^2)+ab^2(a^2-b^2)
=ab(a-b)^2(a+b)
(4)x^3+2x+3
=x^3+1+2(x+1)
=(x+1)(x^2-x+1)+2(x+1)
=(x+1)(x^2-x+3)
(5)x^2-y^2-x+1/4
=(x-1/2)^2-y^2
=(x-y-1/2)(x+y-1/2)
(6)3x^2+4xy+y^2
=(3x+y)(x+y)
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