2a-2b/a+b÷a²-b²/a²+2ab+b² 等于多少_数学解答

2a-2b/a+b÷a²-b²/a²+2ab+b² 等于多少

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解答

(2a-2b)/(a+b)÷(a²-b²)/(a²+2ab+b² )
=(2a-2b)/(a+b)*(a²+2ab+b²)/(a²-b²)
=2(a-b)/(a+b)*(a+b)²/(a-b)(a+b)
=2