作业帮化简[(a+1/2b)^2+(a-1/2b)^2](2a^2-1/2b^2)因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/10 14:24:39
因式分解](/uploads/image/z/1621023-15-3.jpg?t=%E5%8C%96%E7%AE%80%5B%28a%2B1%2F2b%29%5E2%2B%28a-1%2F2b%29%5E2%5D%282a%5E2-1%2F2b%5E2%29%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
化简[(a+1/2b)^2+(a-1/2b)^2](2a^2-1/2b^2)因式分解
化简[(a+1/2b)^2+(a-1/2b)^2](2a^2-1/2b^2)
因式分解
化简[(a+1/2b)^2+(a-1/2b)^2](2a^2-1/2b^2)因式分解
[(a+1/2b)^2+(a-1/2b)^2](2a^2-1/2b^2)
=[a^2+ab+1/4b^2+a^2-ab+1/4b^2](2a^2-1/2b^2)
=(2a^2+1/2b^2)(2a^2-1/2b^2)
=4a^4-1/4b^4