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

Answer 1

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