分解因式:(1)a³-4a (2)(x²+y²)²-4x²y²
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/23 23:34:12
分解因式:(1)a³-4a (2)(x²+y²)²-4x²y² (3)(a+b)²-10a-10b+25
![分解因式:(1)a³-4a (2)(x²+y²)²-4x²y²](/uploads/image/z/4890205-37-5.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%3A%281%29a%26%23179%3B-4a+%282%29%28x%26%23178%3B%2By%26%23178%3B%29%26%23178%3B-4x%26%23178%3By%26%23178)
(1)a³-4a
=a(a²-4)
=a(a+2)(a-2)
(2)(x²+y²)²-4x²y²
=x^4+2x²y²+y^4-4x²y²
=x^4-2x²y²+y^4
=(x²-y²)²
(3)(a+b)²-10a-10b+25
=(a+b)²-10(a+b)+25
=(a+b-5)²
=a(a²-4)
=a(a+2)(a-2)
(2)(x²+y²)²-4x²y²
=x^4+2x²y²+y^4-4x²y²
=x^4-2x²y²+y^4
=(x²-y²)²
(3)(a+b)²-10a-10b+25
=(a+b)²-10(a+b)+25
=(a+b-5)²
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