计算 看图 2a+2b分之a-b - a²-b²分之a²+b²
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计算 看图 2a+2b分之a-b - a²-b²分之a²+b²
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![计算 看图 2a+2b分之a-b - a²-b²分之a²+b²](/uploads/image/z/16991684-44-4.jpg?t=%E8%AE%A1%E7%AE%97+%E7%9C%8B%E5%9B%BE+2a%2B2b%E5%88%86%E4%B9%8Ba-b+-+a%26%23178%3B-b%26%23178%3B%E5%88%86%E4%B9%8Ba%26%23178%3B%2Bb%26%23178%3B)
原式=[ (a-b)/(2a+2b) ]-[ (a²+b²)/(a²-b²) ]
={ (a-b)/[2(a+b)] }-{ (a²+b²)/[(a+b)(a-b)] }
={ (a-b)²/[2(a+b)(a-b)] }-{ 2(a²+b²)/[2(a+b)(a-b)] }
=[ (a-b)²-2(a²+b²) ]/[ 2(a+b)(a-b) ]
=(a²-2ab+b²-2a²-2b²)/[ 2(a+b)(a-b) ]
=(-a²-2ab-b²)/[ 2(a+b)(a-b) ]
=-(a+b)²/[ 2(a+b)(a-b) ]
=-(a+b)/[ 2(a-b) ]
={ (a-b)/[2(a+b)] }-{ (a²+b²)/[(a+b)(a-b)] }
={ (a-b)²/[2(a+b)(a-b)] }-{ 2(a²+b²)/[2(a+b)(a-b)] }
=[ (a-b)²-2(a²+b²) ]/[ 2(a+b)(a-b) ]
=(a²-2ab+b²-2a²-2b²)/[ 2(a+b)(a-b) ]
=(-a²-2ab-b²)/[ 2(a+b)(a-b) ]
=-(a+b)²/[ 2(a+b)(a-b) ]
=-(a+b)/[ 2(a-b) ]
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