(c-a)²-4(b-c)(a-b)xy-1-x+y2014x²-(2014-1)x-2014(x²+10x+4)(x²+10x-2)-55a²b+ab²+a²c+ac²+2abc+ab-ac+b²-c²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 04:22:55
![(c-a)²-4(b-c)(a-b)xy-1-x+y2014x²-(2014-1)x-2014(x²+10x+4)(x²+10x-2)-55a²b+ab²+a²c+ac²+2abc+ab-ac+b²-c²](/uploads/image/z/7300570-58-0.jpg?t=%28c-a%29%26%23178%3B-4%28b-c%29%28a-b%29xy-1-x%2By2014x%26%23178%3B-%282014-1%29x-2014%28x%26%23178%3B%2B10x%2B4%29%28x%26%23178%3B%2B10x-2%29-55a%26%23178%3Bb%2Bab%26%23178%3B%2Ba%26%23178%3Bc%2Bac%26%23178%3B%2B2abc%2Bab-ac%2Bb%26%23178%3B-c%26%23178%3B)
(c-a)²-4(b-c)(a-b)xy-1-x+y2014x²-(2014-1)x-2014(x²+10x+4)(x²+10x-2)-55a²b+ab²+a²c+ac²+2abc+ab-ac+b²-c²
(c-a)²-4(b-c)(a-b)
xy-1-x+y
2014x²-(2014-1)x-2014
(x²+10x+4)(x²+10x-2)-55
a²b+ab²+a²c+ac²+2abc+ab-ac+b²-c²
(c-a)²-4(b-c)(a-b)xy-1-x+y2014x²-(2014-1)x-2014(x²+10x+4)(x²+10x-2)-55a²b+ab²+a²c+ac²+2abc+ab-ac+b²-c²
(1)原式=(c-a)²-4(b-c)(a-b)
=c²-2ac+a²-4ab+4ac+4b²-4bc
=c²+2ac+a²-4ab-4bc+4b²
=(c+a)²-4b(c+a)+4b²
=(c+a-2b)²
(2)原式=(xy-x)-1+y
=x(y-1)+(y-1)
=(y-1)(x+1)
(3)题目是否有问题,未分解出来!
(4)原式=(x²+10x)²+2(x²+10x)-8-55
=(x²+10x)²+2(x²+10x)-63
=(x²+10x+9)(x²+10x-7)
=(x+1)(x+9)(x²+10x+25-32)
=(x+1)(x+9)(x+5+4√2)(x+5-4√2)
(5)原式=(a²b+ab²+abc)+(a²c+ac²+abc)+(ab-ac)+(b²-c²)
=ab(a+b+c)+ac(a+b+c)+a(b-c)+(b+c)(b-c)
=ab(a+b+c)+ac(a+b+c)+(b-c)(a+b+c)
=(a+b+c)(ab+ac+b-c)