材料:平方差公式计算:(a+1)(a-1)(a²+1)(a的四次方+1)原式=[(a+1)(a-1)](a²+1)(a的四次方+1)=(a²-1)(a²+1)(a的四次方+1)=(a的四次方-1)(a的四次方+1)=a的
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 10:31:59
![材料:平方差公式计算:(a+1)(a-1)(a²+1)(a的四次方+1)原式=[(a+1)(a-1)](a²+1)(a的四次方+1)=(a²-1)(a²+1)(a的四次方+1)=(a的四次方-1)(a的四次方+1)=a的](/uploads/image/z/5529649-49-9.jpg?t=%E6%9D%90%E6%96%99%EF%BC%9A%E5%B9%B3%E6%96%B9%E5%B7%AE%E5%85%AC%E5%BC%8F%E8%AE%A1%E7%AE%97%EF%BC%9A%EF%BC%88a%2B1%EF%BC%89%EF%BC%88a-1%EF%BC%89%EF%BC%88a%26%23178%3B%2B1%EF%BC%89%EF%BC%88a%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B1%EF%BC%89%E5%8E%9F%E5%BC%8F%3D%5B%EF%BC%88a%2B1%EF%BC%89%EF%BC%88a-1%EF%BC%89%5D%EF%BC%88a%26%23178%3B%2B1%EF%BC%89%EF%BC%88a%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B1%EF%BC%89%3D%EF%BC%88a%26%23178%3B-1%EF%BC%89%EF%BC%88a%26%23178%3B%2B1%EF%BC%89%EF%BC%88a%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B1%EF%BC%89%3D%EF%BC%88a%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9-1%EF%BC%89%EF%BC%88a%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B1%EF%BC%89%3Da%E7%9A%84)
材料:平方差公式计算:(a+1)(a-1)(a²+1)(a的四次方+1)原式=[(a+1)(a-1)](a²+1)(a的四次方+1)=(a²-1)(a²+1)(a的四次方+1)=(a的四次方-1)(a的四次方+1)=a的
材料:平方差公式计算:(a+1)(a-1)(a²+1)(a的四次方+1)
原式=[(a+1)(a-1)](a²+1)(a的四次方+1)=(a²-1)(a²+1)(a的四次方+1)=(a的四次方-1)(a的四次方+1)=a的八次方-1
仿照上例计算:
(1) (x+2)(x-2)(x²+a)(x四次方+16)(x平方+256);
(2) (2+1)(2-1)(2²+1)(2的四次方+1)...(2的4n次方+1)
(1)改为 (x+2)(x-2)(x²+4)(x四次方+16)(x平方+256);
有劳了
材料:平方差公式计算:(a+1)(a-1)(a²+1)(a的四次方+1)原式=[(a+1)(a-1)](a²+1)(a的四次方+1)=(a²-1)(a²+1)(a的四次方+1)=(a的四次方-1)(a的四次方+1)=a的
(x+2)(x-2)(x²+a)(x四次方+16)(x平方+256);
=(x²-4)(x²+4)(x^8+16)(x^16+256)
=(x^8-16)(x^8+16)(x^16+256)
=(x^16-256)(x^16+256)
=x^32-65536
(2+1)(2-1)(2²+1)(2的四次方+1)...(2的4n次方+1)
=(2²-1)(2²+1)(2^4+1).(2^2n+1)
=(2^4-1)(2^4+1).(2^2n+1)
=(2^8-1).(2^2n+1)
=...
=2^4n-1