因式分解(91²-31²)÷(151²-91²)求过程
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 02:32:26
![因式分解(91²-31²)÷(151²-91²)求过程](/uploads/image/z/760700-20-0.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2891%26%23178%3B-31%26%23178%3B%29%C3%B7%EF%BC%88151%26%23178%3B-91%26%23178%3B%EF%BC%89%E6%B1%82%E8%BF%87%E7%A8%8B)
因式分解(91²-31²)÷(151²-91²)求过程
因式分解(91²-31²)÷(151²-91²)
求过程
因式分解(91²-31²)÷(151²-91²)求过程
原式=[(91-31)(91+31)]÷[(151+91)(151-91)]=[60×122]÷[242×60]=122÷242=61/121
(91-31)(91+31)÷[(151-91)(151+91)]=60x122÷(60x242)=122÷242=61/121
用平方差公式。由于符号不好打,最后结果为61/121.