分解因式:1,a³ +27 2,8-m³ 3,-27x³+8 4,y²(x²-2x)³﹢y²5,4xy+1-4x²-y² 6,a⁴b+a³b²-a²b²-ab⁴
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 10:55:42
![分解因式:1,a³ +27 2,8-m³ 3,-27x³+8 4,y²(x²-2x)³﹢y²5,4xy+1-4x²-y² 6,a⁴b+a³b²-a²b²-ab⁴](/uploads/image/z/2983322-2-2.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A1%2Ca%26%23179%3B+%2B27+2%2C8-m%26%23179%3B+3%2C-27x%26%23179%3B%2B8+4%2Cy%26%23178%3B%EF%BC%88x%26%23178%3B%EF%BC%8D2x%29%26%23179%3B%EF%B9%A2y%26%23178%3B5%2C4xy%2B1-4x%26%23178%3B-y%26%23178%3B+6%2Ca%26%238308%3Bb%2Ba%26%23179%3Bb%26%23178%3B-a%26%23178%3Bb%26%23178%3B-ab%26%238308%3B)
分解因式:1,a³ +27 2,8-m³ 3,-27x³+8 4,y²(x²-2x)³﹢y²5,4xy+1-4x²-y² 6,a⁴b+a³b²-a²b²-ab⁴
分解因式:1,a³ +27 2,8-m³ 3,-27x³+8 4,y²(x²-2x)³﹢y²
5,4xy+1-4x²-y² 6,a⁴b+a³b²-a²b²-ab⁴
分解因式:1,a³ +27 2,8-m³ 3,-27x³+8 4,y²(x²-2x)³﹢y²5,4xy+1-4x²-y² 6,a⁴b+a³b²-a²b²-ab⁴
1,a³ +27
=(a+3)(a²-3a+9)
2,8-m³
=(2-m)(4+2m+m²)
3,-27x³+8
=-(3x-2)(9x²+6x+4)
4,y²(x²-2x)³﹢y²
=y²[(x²-2x)³+1]
=y²(x²-2x+1)(x^4-4x³+4x²+x²-2x+1)
=y²(x-1)²(x^4-4x³+5x²-2x+1)
5,4xy+1-4x²-y²
=1-(4x²-4xy+y²)
=1-(2x-y)²
=(1+2x-y)(1-2x+y)
6,a⁴b+a³b²-a²b²-ab⁴
建议改成a⁴b+a³b²-a²b³-ab⁴
=ab(a³+a²b-ab²-b³)
=ab(a+b)(a²-b²)
=ab(a+b)²(a-b)