作业帮化简求值：[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)a=-3 b=4
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/07 10:53:02
![化简求值：[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)a=-3 b=4](/uploads/image/z/2997812-20-2.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%EF%BC%9A%5B%28a%2B0.5b%29%26%23178%3B%2B%28a-0.5b%29%26%23178%3B%5D%C3%97%282a%26%23178%3B-0.5b%26%23178%3B%29a%3D-3+b%3D4)
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化简求值：[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)a=-3 b=4
化简求值：[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)
a=-3 b=4
化简求值：[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)a=-3 b=4
解[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)
=[a^2+b^2/4+ab+a^2+b^2/4-ab]×(2a²-0.5b²)
=(2a^2+b^2/2)×(2a²-0.5b²)
=(2a^2+0.5b^2)×(2a²-0.5b²)
=(2a^2)^2-(0.5b^2)^2
=4a^4-b^4/4
=4a^4-0.25b^4.
[(a+0.5b)²+(a-0.5b)²]×(2a²-0.5b²)
[a^2+ab+0.25b^2+a^2-ab+0.25b^2]×(2a²-0.5b²)
(2a²+0.5b²)(2a²-0.5b²)
(2a²)^2-(0.5b²)^2
4a^4-0.25b^4