Question

Tính:

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

b) \(\dfrac{{x + 3}}{x} \cdot \dfrac{{x + 2}}{{{x^2} + 6x + 9}}:\dfrac{{{x^2} - 4}}{{{x^2} + 3x}}\)

Answer 1

\(a,=\dfrac{2\left(2x^2+1\right).\left(3x+2\right).2\left(2-x\right)}{\left(x-2\right)\left(x-4\right)\left(2x^2+1\right)}=\dfrac{-4.\left(3x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x-4\right)}=\dfrac{-4\left(3x+2\right)}{x-4}\\ b,=\dfrac{\left(x+3\right).\left(x+2\right)}{x.\left(x+3\right)^2}\times\dfrac{x\left(x+3\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{\left(x+3\right)\left(x+2\right)x\left(x+3\right)}{x.\left(x+3\right)^2.\left(x-2\right)\left(x+2\right)}=\dfrac{1}{x-2}\)