Question

Thực hiện phép tính :

a) \(\dfrac{1}{x-2y}+\dfrac{8y^2}{4y^2x-x^3}+\dfrac{1}{x+2y}\)

Answer 1

Tớ làm luôn nhé , không chép lại đề đâu

\(\dfrac{x+2y+x-2y}{\left(x-2y\right)\left(x+2y\right)}+\dfrac{8y^2}{x\left(4y^2-x^2\right)}\)

\(=\dfrac{2x}{\left(x-2y\right)\left(x+2y\right)}-\dfrac{8y^2}{x\left(x-2y\right)\left(x+2y\right)}\)

=\(\dfrac{2x^2-8y^2}{x\left(x+2y\right)\left(x-2y\right)}=\dfrac{2\left(x^2-4y^2\right)}{x\left(x-2y\right)\left(x+2y\right)}\)

\(=\dfrac{2\left(x-2y\right)\left(x+2y\right)}{x\left(x-2y\right)\left(x+2y\right)}=\dfrac{2}{x}\)