先化简,再求值:m-m²/m²-1÷m/m-1·(m+1/m-1)²,其中m=2.
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![先化简,再求值:m-m²/m²-1÷m/m-1·(m+1/m-1)²,其中m=2.](/uploads/image/z/1788721-25-1.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC%EF%BC%9Am-m%26%23178%3B%2Fm%26%23178%3B-1%C3%B7m%2Fm-1%C2%B7%28m%2B1%2Fm-1%29%26%23178%3B%2C%E5%85%B6%E4%B8%ADm%3D2.)
先化简,再求值:m-m²/m²-1÷m/m-1·(m+1/m-1)²,其中m=2.
先化简,再求值:m-m²/m²-1÷m/m-1·(m+1/m-1)²,其中m=2.
先化简,再求值:m-m²/m²-1÷m/m-1·(m+1/m-1)²,其中m=2.
原式=-m(m-1)/(m+1)(m-1)×(m-1)/m×(m+1)²/(m-1)²
=-m/(m+1)×(m-1)/m×(m+1)²/(m-1)²
=-(m-1)/(m+1)×(m+1)²/(m-1)²
=-(m+1)/(m-1)
=-(2+1)/(2-1)
=-3
m(1-m) (m-1) (m+1)² / (m+1)(m-1)(m-1)(m-1)²
=- m(m+1) / (m-1)(m-1)
代入m=2
= -6 / 1
= -6
当m=2时
原式=[-(m-1)m(m-1)/(m-1)(m+1)m](m+1/m-1)²
==[-(m-1)/(m+1)](m+1/m-1)²
=-(m+1)/(m-1)
=-3/(2-1)
=-3
原式=(1-m)/(m+1) * (m+1)²/(m-1)² (把m-m²换成m(1-m),再用平方差公式)
=-1 * (m+1)/(m-1) ((1-m)=-(m-1))
=-1 * (2+1)/(2-1)
=-3
原式=-m(m-1)/(m+1)(m-1)×(m-1)/m×(m+1)²/(m-1)²
=-m/(m+1)×(m-1)/m×(m+1)²/(m-1)²
=-(m-1)/(m+1)×(m+1)²/(m-1)²
=-(m+1)/(m-1)
=-(2+1)/(2-1)
=-3