(2xⁿ+²-6x³ⁿ﹣¹+10x⁴ⁿ﹚÷﹙½xⁿ)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 04:34:14
![(2xⁿ+²-6x³ⁿ﹣¹+10x⁴ⁿ﹚÷﹙½xⁿ)](/uploads/image/z/3815308-28-8.jpg?t=%EF%BC%882x%26%238319%3B%2B%26%23178%3B-6x%26%23179%3B%26%238319%3B%EF%B9%A3%26%23185%3B%EF%BC%8B10x%26%238308%3B%26%238319%3B%EF%B9%9A%C3%B7%EF%B9%99%26%23189%3Bx%26%238319%3B%EF%BC%89)
(2xⁿ+²-6x³ⁿ﹣¹+10x⁴ⁿ﹚÷﹙½xⁿ)
(2xⁿ+²-6x³ⁿ﹣¹+10x⁴ⁿ﹚÷﹙½xⁿ)
(2xⁿ+²-6x³ⁿ﹣¹+10x⁴ⁿ﹚÷﹙½xⁿ)
^ 表示乘方
原式=[2x^(n+2)-6x^(3n-1)+10x^4n]÷[(1/2)x^n]
=[2x^(n+2)]÷[(1/2)x^n]-[6x^(3n-1)]÷[(1/2)x^n]+[(10x^4n)÷[(1/2)x^n]
=[(2÷1/2)×x^(n+2)÷x^n]-[(6÷1/2)×x^(3n-1)÷x^n]+[(10÷1/2)×x^4n÷x^n]
=4×x^(n+2-n)-12×x^(3n-1-n)+20×x^(4n-n)
=4x²-12x^(2n-1)+20x^3n