求2a²b-4c+1与-3a²b+4d-1的差,若a,b互为倒数,c,d互为相反数,请化简所得的差
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![求2a²b-4c+1与-3a²b+4d-1的差,若a,b互为倒数,c,d互为相反数,请化简所得的差](/uploads/image/z/3184622-62-2.jpg?t=%E6%B1%822a%26%23178%3Bb-4c%2B1%E4%B8%8E-3a%26%23178%3Bb%2B4d-1%E7%9A%84%E5%B7%AE%2C%E8%8B%A5a%2Cb%E4%BA%92%E4%B8%BA%E5%80%92%E6%95%B0%2Cc%2Cd%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E8%AF%B7%E5%8C%96%E7%AE%80%E6%89%80%E5%BE%97%E7%9A%84%E5%B7%AE)
求2a²b-4c+1与-3a²b+4d-1的差,若a,b互为倒数,c,d互为相反数,请化简所得的差
求2a²b-4c+1与-3a²b+4d-1的差,若a,b互为倒数,c,d互为相反数,请化简所得的差
求2a²b-4c+1与-3a²b+4d-1的差,若a,b互为倒数,c,d互为相反数,请化简所得的差
(2a²b-4c+1)-(-3a²b+4d-1)
=2a²b-4c+1+3a²b-4d+1
=5a²b-4(c+d)+2
若a,b互为倒数,c,d互为相反数
则ab=1,c+d=0
5a²b-4(c+d)+2=5(ab)b-4(c+d)+2=5b+2
-a﹙ab﹚-4﹙c-d﹚a与b互为倒数,乘积为1.c与d互为相反数,所以c-d就等于2c
最后化简得为-a-8c