Question

rút gọn:a) \(\dfrac{5x^2+10xy+y^2}{3x^3+3y^3}\)

b)\(\dfrac{x^2+4y^2-4xy-4}{2x^2-4xy+4x}\)

c)\(\dfrac{2x^2+10x+2}{x^3-4x}\)

d)\(\dfrac{8x^3-1}{-4x^2-1-2x}\)

Answer 1

a: \(=\dfrac{5\left(x^2+2xy+y^2\right)}{3\left(x^3+y^3\right)}\)

\(=\dfrac{5\left(x+y\right)^2}{3\left(x+y\right)\left(x^2-xy+y^2\right)}=\dfrac{5\left(x+y\right)}{3\left(x^2-xy+y^2\right)}\)

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

\(=\dfrac{x-2y-2}{2x}\)

c: \(=\dfrac{2\left(x^2+5x+1\right)}{x\left(x-2\right)\left(x+2\right)}\)