因式分解 5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 00:04:27
![因式分解 5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x](/uploads/image/z/402066-18-6.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+5X%26%23178%3B-2+x%E5%9B%9B%E6%AC%A1%E6%96%B9-4x%26%23178%3B%2B4+x%E5%9B%9B%E6%AC%A1%E6%96%B9%2B2x%26%23178%3B-8+x%E4%BA%94%E6%AC%A1%E6%96%B9-3x%E4%B8%89%E6%AC%A1%E6%96%B9-10x5X%26%23178%3B-2+x%E5%9B%9B%E6%AC%A1%E6%96%B9-4x%26%23178%3B%2B4+x%E5%9B%9B%E6%AC%A1%E6%96%B9%2B2x%26%23178%3B-8+x%E4%BA%94%E6%AC%A1%E6%96%B9-3x%E4%B8%89%E6%AC%A1%E6%96%B9-10x)
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因式分解 5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x
因式分解 5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x
5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x
因式分解 5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x5X²-2 x四次方-4x²+4 x四次方+2x²-8 x五次方-3x三次方-10x
5X²-2=(√5x+√2)(√5x-√2)
x四次方-4x²+4
=(x²-2)²
=(x+√2)²(x-√2)²
x四次方+2x²-8
=(x²+4)(x²-2)
=(x²+4)(x+√2)(x-√2)
x五次方-3x三次方-10x
=x(x^4-3x^2-10)
=x(x²-5)(x²+2)
=x(x+√5)(x-√5)(x²+2)