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
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 02:33:34
![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](/uploads/image/z/800739-27-9.jpg?t=%E6%9C%89%E5%88%86.%281%298a%5E3-b%5E3%282%294x%5E4-13x%5E2%2B9%283%29a%5E4b-a%5E2b%5E3%2Ba%5E3b%5E2-ab%5E4%284%29x%5E3%2B2x%2B3%285%29x%5E2-y%5E2-x%2B1%2F4%286%293x%5E2%2B4xy%2By%5E2)
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
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
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
=(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)
高中还有因式分解?我怎么不记得了。
是复习初中的知识吗?
(1) (2a-b)(4a^2+2ab+b^2)
(2) (x^2-1)(4x^2-9)=(2x-3)(2x+3)(x-1)(x+1)
(3) ab(a-b)^2(a+b)
(4) (x+1)(x^2-x+3)
(5) (x-y-1/2)(x+y-1/2)
(6) (x+y)(3x+y)
希望可以帮助你!