Question

初中分式计算题(a+b/a-b)的平方 乘 2a-2b/3a+3b 减去 (a^2-b^2)分之a^2 除以 b分之a

Answer 1

原式=[(a+b)^2/(a-b)^2]*[2(a-b)/3(a+b)]-[a^2/(a+b)(a-b)]/(a/b) =2(a+b)/3(a-b)-ab/(a+b)(a-b) =2(a+b)^2/3(a+b)(a-b)-3ab/3(a+b)(a-b) =(2a^2+4ab+2b^2-3ab)/3(a+b)(a-b) =(2a^2+ab+2b^2)/(3a^2-3b^2)