化简(a>0) (a³+a^-3)(a³-a^-3)÷[(a⁴+a^-4+1)(a-a^-1)]
人气:421 ℃ 时间:2020-05-25 16:48:34
解答
原式=[a^6-a^(-6)]/[(a^4+1/a^4+1)(a-1/a)]
=(a²-1/a²)(a^4+1/a^4+1)/[(a^4+1/a^4+1)(a-1/a)]
=(a+1/a)(a-1/a)/(a-1/a)
=a+1/a
=(a²+1)/a
推荐
猜你喜欢
- This is a kind of green fabric,easy to wash and quick to dry.
- 三棱镜的光谱特点是什么?
- 英语周报翻译 He said his mom played a lot of music around the house when he was growing up
- 棱长为a的正方体ABCD-A1B1C1D1中,M,N分别为AA1,C1D1中点,过DMN三点的平面与直线A1B1交于点P,则线段PB1长为?
- “学问是苦根长出来的甜果"怎样理解?
- 经过椭圆2分之X的平方+y的平方=1的左焦点F1的直线L,直线L与椭圆相交与A,B点,求弦长AB的最小值
- work makes me ( )(tire)所给词的适当形式填空
- 初中数学题;a、b为何值时,多项式f(x)=2*x的四次方+x的立方-x的平方+ax+b有因式x-1和x+1