Question

Answer 1

\(P=\dfrac{\sqrt{9x^2+12x+4}}{3x+2}\)

\(P=\dfrac{\sqrt{\left(3x+2\right)^2}}{3x+2}\)

\(P=\dfrac{\left|3x+2\right|}{3x+2}\)

`@` Với \(x>-\dfrac{2}{3}\) \(\Rightarrow P=\dfrac{3x+2}{3x+2}=1\)

`@` Với \(x< -\dfrac{3}{2}\) \(\Rightarrow P=-\dfrac{3x+2}{3x+2}=-1\)

Answer 2

\(P=\dfrac{\sqrt{9x^2+12x+\text{4}}}{3x+2}=\dfrac{\sqrt{\left(3x\right)^2+2.2.3x+2^2}}{3x+2}=\dfrac{\sqrt{\left(3x+2\right)^2}}{3x+2}=\dfrac{\left|3x+2\right|}{3x+2}=>P=1;P=-1\)