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化简a^2+3/a^2-1 - a+1/a-1 +1 等于?
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化简a^2+3/a^2-1 - a+1/a-1 +1 等于?
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答案和解析
是(a^2+3)/(a^2-1) - (a+1)/(a-1) +1
= (a^2-1+4)/(a^2-1) - (a-1+2)/(a-1) +1
= 1 + 4/(a^2-1) - 1 - 2/(a-1) +1
= 1 + 4/(a^2-1)- 2(a+1)/(a^2-1)
= 1 - (2a +2 -4)/(a^2-1)
= 1 - 2(a - 1)/(a^2-1)
= 1 - 2/(a + 1)
= (a^2-1+4)/(a^2-1) - (a-1+2)/(a-1) +1
= 1 + 4/(a^2-1) - 1 - 2/(a-1) +1
= 1 + 4/(a^2-1)- 2(a+1)/(a^2-1)
= 1 - (2a +2 -4)/(a^2-1)
= 1 - 2(a - 1)/(a^2-1)
= 1 - 2/(a + 1)
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