Question

一道因式分解

6ax+15b^2y^2-6b^2x-15ay^2
麻烦不要跳步。
每一步都要

Answer 1

6ax+15b^2y^2-6b^2x-15ay^2
=6ax-6b^2x-15ay^2+15b^2y^2
=6x(a-b^2)-15y^2(a-b^2)
=（6x-15y^2）(a-b^2)
=3(2x-5y^2)(a-b^2)

楼上错了。没有提取公共数3

Answer 2

6ax+15b^2y^2-6b^2x-15ay^2
=(6ax-6b^2x)+(15b^2y^2-15ay^2)
=6x(a-b^2)+15y^2(b^2-a)
=(a-b^2)(6x-15y^2)
=3(a-b^2)(2x-5y^2)

Answer 3

6ax+15b^2y^2-6b^2x-15ay^2
=6x(a-b^2) - 15y^2(a-b^2)
=(6x-15y^2)(a-b^2)

Answer 4

6ax+15b^2y^2-6b^2x-15ay^2
=6x(a-b^2)-15y^2(a-b^2)
=3(2x-5y^2)(a-b^2)

Answer 5

解：
6ax+15b^2y^2-6b^2x-15ay^2

=6x(a-b^2) - 15y^2(a-b^2)

=(6x-15y^2)(a-b^2)

=3（2x-5y^2）(a-b^2)

Answer 6

2X^3n-12X^2nY^2+18X^nY^4
=2X^n(X^2n-6X^nY^2+9Y^4)
=2X^n(X^n-3Y^2)