作业帮20x2+253x+800因式分解 x4+y4+(x+y)4因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/25 13:28:33
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20x2+253x+800因式分解 x4+y4+(x+y)4因式分解
20x2+253x+800因式分解 x4+y4+(x+y)4因式分解
20x2+253x+800因式分解 x4+y4+(x+y)4因式分解
20x2+253x+800
=(5X+32)(4X+25)
(x+y)²=(x+y)²（x+y)²=（x²+y²+2xy）²=(x²+y²)²+4x²y²+4xy(x²+y²)
x4+y4=(x²+y²)²-2x²y²
x4+y4+(x+y)4=(x²+y²)²+4x²y²+4xy(x²+y²)+(x²+y²)²-2x²y²=2(x²+y²)²+2x²y²+4xy(x²+y²)
=2[(x²+y²)²+x²y²+2xy(x²+y²)]=2(x²+y²+xy)²
20x2+253x+800因式分解 x4+y4+(x+y)4因式分解
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