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
问题描述:
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
答
(4a²+4a)(4a²+4a-2)-3
=(4a²+4a)²-2(4a²+4a)-3
=(4a²+4a+1)(4a²+4a-3)
=(2a+1)²(4a²+4a-3)
(25m²-6)²-625m²
=(25m²-6+25m)(25m²-6-25m)
=(5m-1)(5m+6)(5m+1)(5m-6)
5abx²+(a-15b)x-3
=5abx²+ax-15bx-3
=ax(5bx+1)-3(bx+1)
=(ax-3)(5bx+1)
(2n²-n)(2n²-n-9)+18
=(2n²-n)²-9(2n²-n)+18
=(2n²-n-3)(2n²-n-6)
=(2n-3)(n+1)(2n+3)(n-2)
愿对你有所帮助!
答
(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...