Question

数学因式分解题，求帮助！

第一题：a^4+4b^4
第二题：a^3-3a+2
第三题：a^3+3a^2+3a+2

Answer 1

1 a^4+4b^4
= a^4+4a^2b^2+4b^4-4a^2b^2
= (a^2+2b^2)^2-(2ab)^2
=(a^2+2b^2-2ab)(a^2+2b^2+2ab)
2 a^3-3a+2
= a^3-a -(2a-2)
=a(a^2-1)-2(a-1)
=a(a+1)(a-1)-2(a-1)
=(a-1)(a^2+a-2)=(a-1)(a-1)(a+2)
3 a^3+3a^2+3a+2
= a^2(a+2)+a(a+2)+(a+2)
=(a^2+a+1)(a+2)

Answer 2

1.2mp-3n+3np-2m
=(2mp-2m)+(3np-3n)
=2m(p-1)+3n(p-1)
=(2m+3n)(p-1)

2.12ac+6bd-9ad-8bc
=(12ac-9ad)+(6bd-8bc)
=3a(4c-3d)+2b(3d-4c)
=3a(4c-3d)-2b(4c-3d)
=(3a-2b)(4c-3d)

3.5x³-5x²+2x-2
=5x²(x-1)+2(x-1)
=(5x²+2)(x-1)

4.km-2n+2m+6-kn+3k
=(km+2m)-(2n+kn)+(3k+6)
=m(k+2)-n(2+k)+3(k+2)
=(k+2)(m-n+3)

Answer 3

^是什么符号？

追问

指数符号，比如a^3就是a的3次方

追答

有大神已经给你解答了