作业帮计算:(1)2/x-1÷x+2/x^2-2x+1 (2)m^2-16/12-3m÷(m^2+4m)
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计算:(1)2/x-1÷x+2/x^2-2x+1 (2)m^2-16/12-3m÷(m^2+4m)
计算:(1)2/x-1÷x+2/x^2-2x+1 (2)m^2-16/12-3m÷(m^2+4m)
计算:(1)2/x-1÷x+2/x^2-2x+1 (2)m^2-16/12-3m÷(m^2+4m)
(1)
2/(x-1) ÷ (x+2)/(x^2-2x+1)
= 2/(x-1) ÷ (x+2)/(x-1)^2
= 2/(x-1) *(x-1)^2 /(x+2)
= 2(x-1)/(x+2)
(2)
(m^2-16)/(12-3m) ÷ (m^2+4m)
= (m^2-16)/(12-3m) *1 / (m^2+4m)
= {(m+4)(m-4)}/{-3(m+4)} *1 / {m(m+4)}
= -(m-4)/{3m(m+4)}
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