Question

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

Answer 1

（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)