分解因式(1)3a^3+12a^2b+12ab^2 (2) -6m^3n^2-3m^2n^2+12m^2n^3 (3) 2a^2b^2-28ab+98 (4) 6a^2-a^3-9a
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![分解因式(1)3a^3+12a^2b+12ab^2 (2) -6m^3n^2-3m^2n^2+12m^2n^3 (3) 2a^2b^2-28ab+98 (4) 6a^2-a^3-9a](/uploads/image/z/8793326-38-6.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%881%EF%BC%893a%5E3%2B12a%5E2b%2B12ab%5E2+%282%29+-6m%5E3n%5E2-3m%5E2n%5E2%2B12m%5E2n%5E3+%283%29+2a%5E2b%5E2-28ab%2B98+%284%29+6a%5E2-a%5E3-9a)
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分解因式(1)3a^3+12a^2b+12ab^2 (2) -6m^3n^2-3m^2n^2+12m^2n^3 (3) 2a^2b^2-28ab+98 (4) 6a^2-a^3-9a
分解因式(1)3a^3+12a^2b+12ab^2 (2) -6m^3n^2-3m^2n^2+12m^2n^3 (3) 2a^2b^2-28ab+98 (4) 6a^2-a^3-9a
分解因式(1)3a^3+12a^2b+12ab^2 (2) -6m^3n^2-3m^2n^2+12m^2n^3 (3) 2a^2b^2-28ab+98 (4) 6a^2-a^3-9a
(1)3a^3+12a^2b+12ab^2
=3a(a^2+4ab+4b^2)
=3a(a+2b)^2
(2) -6m^3n^2-3m^2n^2+12m^2n^3
=-3m^2n^2(2m+1-4n)
(3) 2a^2b^2-28ab+98
=2(a^2b^2-14ab+49)
=2(ab-7)^2
(4) 6a^2-a^3-9a
=-a(a^2-6a+9)
=-a(a-3)^2
(1)3a^3+12a^2b+12ab^2
=3a(a^2+4ab+4b^2)
=3a(a+2b)^2
(2) -6m^3n^2-3m^2n^2+12m^2n^3
=-3m^2n^2(2m+1-4n)
(3) 2a^2b^2-28ab+98
=2(a^2b^2-14ab+49)
=2(ab-7)^2
(4) 6a^2-a^3-9a
=-a(a^2-6a+9)
=-a(a-3)^2