\(a,P=\left[\dfrac{3\sqrt{a}}{\sqrt{a}+4}+\dfrac{\sqrt{a}}{\sqrt{a}-4}+\dfrac{4\left(a+2\right)}{16-a}\right]:\left(1-\dfrac{2\sqrt{a}+5}{\sqrt{a}+4}\right)\left(dk:a\ge0,a\ne16\right)\\ =\left[\dfrac{3\sqrt{a}}{\sqrt{a}+4}+\dfrac{\sqrt{a}}{\sqrt{a}-4}-\dfrac{4a+8}{a-16}\right]:\left(\dfrac{\sqrt{a}+4-2\sqrt{a}-5}{\sqrt{a}+4}\right)\)
\(=\left[\dfrac{3\sqrt{a}\left(\sqrt{a}-4\right)+\sqrt{a}\left(\sqrt{a}+4\right)-\left(4a+8\right)}{\left(\sqrt{a}-4\right)\left(\sqrt{a}+4\right)}\right].\dfrac{\sqrt{a}+4}{-\sqrt{a}-1}\)
\(=\dfrac{3a-12\sqrt{a}+a+4\sqrt{a}-4a-8}{\sqrt{a}-4}.\left(-\sqrt{a}-1\right)\\ =\dfrac{-8\sqrt{a}-8}{-\left(\sqrt{a}-4\right)\left(\sqrt{a}+1\right)}\\ =\dfrac{-8\left(\sqrt{a}+1\right)}{-\left(\sqrt{a}-4\right)\left(\sqrt{a}+1\right)}\\ =\dfrac{8}{\sqrt{a}-4}\)
Nhãn
