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：2024/11/26 23:42:01
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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