x+1分之1-x的平方-1分之x+3乘以x的平方+4x+3分之x的平方-2x+1
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1/(x+1)-(x+3)/(x²-1)*(x²-2x+1)/(x²+4x+3)
=1/(x+1)-(x-1)²/((x+1)(x-1))*(x+3)/((x+3)(x+1))
=1/(x+1)-(x-1)/(x+1)*1/(x+1)
=(x+1)/(x+1)²-(x-1)/(x+1)²
=(x+1-x+1)/(x+1)²
=2/(x+1)²
=1/(x+1)-(x-1)²/((x+1)(x-1))*(x+3)/((x+3)(x+1))
=1/(x+1)-(x-1)/(x+1)*1/(x+1)
=(x+1)/(x+1)²-(x-1)/(x+1)²
=(x+1-x+1)/(x+1)²
=2/(x+1)²
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