作业帮 > 数学 > 作业

因式分解 (4a^2+4a)(4a^2+4a-2)-3 (25m^2-6)^2-625m^2 5abx^2+(a-15b

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/10 05:19:29
因式分解 (4a^2+4a)(4a^2+4a-2)-3 (25m^2-6)^2-625m^2 5abx^2+(a-15b)x-3 (2n^2-n)(2n^2-n-9)+18
急用
(4a^2+4a)(4a^2+4a-2)-3
=(4a²+4a)²-2(4a²+4a)-3
=(4a²+4a+1)(4a²+4a-3)
=(2a+1)²(2a+3)(2a-1)
(25m^2-6)^2-625m^2
=(25m²-6+25m)(25m²-6-25m)
5abx^2+(a-15b)x-3
=5abx²+ax-15bx-3
=ax(5bx+1)-3(bx+1)
=(ax-3)(5bx+1)
(2n^2-n)(2n^2-n-9)+18
=(2n²-n)²-9(2n²-n)+18
=(2n²-n-3)(2n²-n-6)
=(2n-3)(n+1)(2n+3)(n-2)