Question

Answer 1

a: Khi x=16 thì \(A=\dfrac{3\cdot4-2}{1-4}=\dfrac{10}{-3}=-\dfrac{10}{3}\)

b: P=A+B

\(=\dfrac{-3\sqrt{x}+2}{\sqrt{x}-1}+\dfrac{15\sqrt{x}-11}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-1\right)}-\dfrac{2\sqrt{x}+3}{\sqrt{x}+3}\)

\(=\dfrac{-3x-9\sqrt{x}+2\sqrt{x}+6+15\sqrt{x}-11-\left(2\sqrt{x}+3\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-1\right)}\)

\(=\dfrac{-3x+4\sqrt{x}-5-2x-2\sqrt{x}-3\sqrt{x}-3}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-1\right)}\)

\(=\dfrac{-5x+\sqrt{x}-8}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-1\right)}\)