把下列格式分解因式(1) 2a^4b62-463b^2+10ab^4; (2)10(x-y)^2-5(x-y)^3; (3)6(x-2)^2+5(2-x);(4)5(m-n)^3+10(n-m)^5; (5)(a-1)+x^2(1-a); (6)ab-1/2(a^2+b^2);(7)(x+y)^2+4(x+y)z+4z^2
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![把下列格式分解因式(1) 2a^4b62-463b^2+10ab^4; (2)10(x-y)^2-5(x-y)^3; (3)6(x-2)^2+5(2-x);(4)5(m-n)^3+10(n-m)^5; (5)(a-1)+x^2(1-a); (6)ab-1/2(a^2+b^2);(7)(x+y)^2+4(x+y)z+4z^2](/uploads/image/z/14839994-2-4.jpg?t=%E6%8A%8A%E4%B8%8B%E5%88%97%E6%A0%BC%E5%BC%8F%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%281%29+2a%5E4b62-463b%5E2%2B10ab%5E4%3B+%282%2910%28x-y%29%5E2-5%28x-y%29%5E3%3B+%283%296%28x-2%29%5E2%2B5%282-x%29%3B%284%295%28m-n%29%5E3%2B10%28n-m%29%5E5%3B+%285%29%28a-1%29%2Bx%5E2%281-a%29%3B+%286%29ab-1%2F2%28a%5E2%2Bb%5E2%29%3B%287%29%28x%2By%29%5E2%2B4%28x%2By%29z%2B4z%5E2)
把下列格式分解因式(1) 2a^4b62-463b^2+10ab^4; (2)10(x-y)^2-5(x-y)^3; (3)6(x-2)^2+5(2-x);(4)5(m-n)^3+10(n-m)^5; (5)(a-1)+x^2(1-a); (6)ab-1/2(a^2+b^2);(7)(x+y)^2+4(x+y)z+4z^2
把下列格式分解因式
(1) 2a^4b62-463b^2+10ab^4; (2)10(x-y)^2-5(x-y)^3; (3)6(x-2)^2+5(2-x);
(4)5(m-n)^3+10(n-m)^5; (5)(a-1)+x^2(1-a); (6)ab-1/2(a^2+b^2);
(7)(x+y)^2+4(x+y)z+4z^2
把下列格式分解因式(1) 2a^4b62-463b^2+10ab^4; (2)10(x-y)^2-5(x-y)^3; (3)6(x-2)^2+5(2-x);(4)5(m-n)^3+10(n-m)^5; (5)(a-1)+x^2(1-a); (6)ab-1/2(a^2+b^2);(7)(x+y)^2+4(x+y)z+4z^2
1) 2a^4b62-463b^2+10ab^4
这题有问题,没法解
;
(2)10(x-y)^2-5(x-y)^3;
=5(x-y)²(2-x+y)
(3)6(x-2)^2+5(2-x);
=6(x-2)²-5(x-2)
=(x-2)(6x-12-5)
=(x-2)(6x-17)
(4)5(m-n)^3+10(n-m)^5
=5(m-n)³[1-(m-n)²]
=5(m-n)³(1-m+n)(1+m-n)
(5)(a-1)+x^2(1-a)
=(a-1)-x²(a-1)
=(a-1)(1-x²)
=(a-1)(1+x)(1-x)
(6)ab-1/2(a^2+b^2)
=-1/2(a²-2ab+b²)
=-1/2(a-b)²
(7)(x+y)^2+4(x+y)z+4z^2
=(x+y+2z)²