(3x^/4y)^*2y/3y+x^2y^÷2y^/x 还有一个 (a+b/a-b)^*(2a-2b/3a+3b)-a^/a^-b^÷a/b

问题描述:

(3x^/4y)^*2y/3y+x^2y^÷2y^/x 还有一个 (a+b/a-b)^*(2a-2b/3a+3b)-a^/a^-b^÷a/b

(3x^/4y)^*2x/3y+x^2y^÷2y^/x
=9x^4/16y²*2x/3y+x²y²÷2y²/x
=3x³/8y+x/2
(a+b/a-b)^*(2a-2b/3a+3b)-a^/a^-b^÷a/b
=(a+b)²/(a-b)²*2/3*(a-b)/(a+b)-a²/(a²-b²)÷a/b
=2/3*(a+b)/(a-b)-ab/(a²-b²)
=2(a+b)²/3(a²-b²)-3ab/3(a²-b²)
=(2a²+4ab+2b²-3ab)/(3a²-3b²)
=(2a²+ab+2b²/(3a²-3b²)