x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 03:24:12
![x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)](/uploads/image/z/8665135-7-5.jpg?t=x%26%23179%3B-16x%26%23178%3B%2B64x25%28x-y%29%26%23178%3B-10%28x-y%29%2B1x%26%238308%3B-y%26%238308%3B5x%26%23179%3B-10x%26%23178%3B%2B5x%28a%2Bb%29%26%23178%3B-4%28a%2Bb-1%29)
x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)
x³-16x²+64x
25(x-y)²-10(x-y)+1
x⁴-y⁴
5x³-10x²+5x
(a+b)²-4(a+b-1)
x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)
x³-16x²+64x
=x(x²-16x+64)
=x(x-8)²
25(x-y)²-10(x-y)+1
=(5x-5y-1)²
x⁴-y⁴
=(x²+y²)(x²-y²)
=(x²+y²)(x-y)(x+y)
5x³-10x²+5x
=5x(x²-2x+1)
=5x(x-1)²
(a+b)²-4(a+b-1)
=(a+b)²-4(a+b)+4
=(a+b-2)²
x³-16x²+64x=x(x-8)²
25(x-y)²-10(x-y)+1=(5x-5y-1)²
x⁴-y⁴=(x²+y²)(x+y)(x-y)
5x³-10x²+5x=5x(x-1)²
(a+b)²-4(a+b-1)=(a+b-2)²