作业帮计算：[﹙x/2+3y﹚²﹣﹙y/2﹢x﹚²+﹙3x-y/2﹚²-﹙x／2+3y﹚﹙3y-x2－]÷x/2
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/15 08:11:06
![计算：[﹙x/2+3y﹚²﹣﹙y/2﹢x﹚²+﹙3x-y/2﹚²-﹙x／2+3y﹚﹙3y-x2－]÷x/2](/uploads/image/z/2770367-23-7.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A%5B%EF%B9%99x%2F2%2B3y%EF%B9%9A%26%23178%3B%EF%B9%A3%EF%B9%99y%2F2%EF%B9%A2x%EF%B9%9A%26%23178%3B%2B%EF%B9%993x-y%2F2%EF%B9%9A%26%23178%3B-%EF%B9%99x%EF%BC%8F2%2B3y%EF%B9%9A%EF%B9%993y-x2%EF%BC%8D%5D%C3%B7x%2F2)
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计算：[﹙x/2+3y﹚²﹣﹙y/2﹢x﹚²+﹙3x-y/2﹚²-﹙x／2+3y﹚﹙3y-x2－]÷x/2
计算：[﹙x/2+3y﹚²﹣﹙y/2﹢x﹚²+﹙3x-y/2﹚²-﹙x／2+3y﹚﹙3y-x2－]÷x/2
计算：[﹙x/2+3y﹚²﹣﹙y/2﹢x﹚²+﹙3x-y/2﹚²-﹙x／2+3y﹚﹙3y-x2－]÷x/2
[﹙x/2+3y﹚²﹣﹙y/2﹢x﹚²+﹙3x-y/2﹚²-﹙x／2+3y﹚﹙3y-x2)]÷x/2
(中括号内,第一、四项提取(X/2+3Y),第二、三项用平方差公式)
=［(X/2+3Y)(X/2+3Y-3Y+X/2)+(3X-Y/2+Y/2+X)(3X-Y/2-Y/2-X)］*2/X
=［X^2/2+3XY+8X^2-4XY］*2/X
=［17/2X^2-XY］*2/X
=17X-2Y.