分解因式(1)a3-4a(2)-a3-2a2-a(3)6a3-54a(4)3(x-2y)2-27(3x+y)2 (5)(
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分解因式
(1)a3-4a
(2)-a3-2a2-a
(3)6a3-54a
(4)3(x-2y)2-27(3x+y)2
(5)(a2+4b2)2-16a2b2
(6)3a4-
(1)a3-4a
(2)-a3-2a2-a
(3)6a3-54a
(4)3(x-2y)2-27(3x+y)2
(5)(a2+4b2)2-16a2b2
(6)3a4-
2 |
3 |
![分解因式(1)a3-4a(2)-a3-2a2-a(3)6a3-54a(4)3(x-2y)2-27(3x+y)2 (5)(](/uploads/image/z/18675194-50-4.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%881%EF%BC%89a3-4a%EF%BC%882%EF%BC%89-a3-2a2-a%EF%BC%883%EF%BC%896a3-54a%EF%BC%884%EF%BC%893%EF%BC%88x-2y%EF%BC%892-27%EF%BC%883x%2By%EF%BC%892+%EF%BC%885%EF%BC%89%EF%BC%88)
(1)原式=a(a2-4)
=a(a+2)(a-2);
(2)原式=-a(a2+2a+1)
=-a(a+1)2;
(3)原式=6a(a+3)(a-3);
(4)原式=-3(10x+y)(8x+5y);
(5)原式=(a+2b)2(a-2b)2;
(6)3a4-
2
3a2+
1
27
=
1
27(81a4-18a2+1)
=
1
27(9a2-1)
=
1
27(3a+1)2(3a-1)2;
(7)原式=2(x2+3y2)2;
(8)原式=(x-4)(x-6);
(9)原式=(a+b)2-4(a+b)+4
=(a+b-2)2;
(10)(a+b)2+(a-b)2-4ab
=a2+b2+2ab+a2+b2-2ab-4ab,
=2a2+2b2-4ab
=2(a-b)2;
(11)原式=(a-b)2-c2
=(a-b+c)(a-b-c);
(12)原式=(x2-1)(x2-4)
=(x+1)(x-1)(x+2)(x-2).
=a(a+2)(a-2);
(2)原式=-a(a2+2a+1)
=-a(a+1)2;
(3)原式=6a(a+3)(a-3);
(4)原式=-3(10x+y)(8x+5y);
(5)原式=(a+2b)2(a-2b)2;
(6)3a4-
2
3a2+
1
27
=
1
27(81a4-18a2+1)
=
1
27(9a2-1)
=
1
27(3a+1)2(3a-1)2;
(7)原式=2(x2+3y2)2;
(8)原式=(x-4)(x-6);
(9)原式=(a+b)2-4(a+b)+4
=(a+b-2)2;
(10)(a+b)2+(a-b)2-4ab
=a2+b2+2ab+a2+b2-2ab-4ab,
=2a2+2b2-4ab
=2(a-b)2;
(11)原式=(a-b)2-c2
=(a-b+c)(a-b-c);
(12)原式=(x2-1)(x2-4)
=(x+1)(x-1)(x+2)(x-2).
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