Question

化简：a的2次方+2ab+b的2次方分之a的2次方-b的2次方÷a+b分之2a-2b=

Answer 1

解：
原式=[(a²-b²)/(a²+2ab+b²)]÷[(2a-2b)/(a+b)]
=[(a-b)(a+b)/(a+b)²]÷[2(a-b)/(a+b)]
=[(a-b)/(a+b)]×(a+b)/[2(a-b)]
=1/2