Question

5) x\(\sqrt{x}\) + 1

6) x +2\(\sqrt{x}\)+ 1

7)  x - 2\(\sqrt{x}\)+ 1

8)  x + \(\sqrt{x}\) 

Answer 1

5: \(x\sqrt{x}+1=\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)\)

6: \(x+2\sqrt{x}+1=\left(\sqrt{x}+1\right)^2\)

7: \(x-2\sqrt{x}+1=\left(\sqrt{x}-1\right)^2\)

8: \(x+\sqrt{x}=\sqrt{x}\left(\sqrt{x}+1\right)\)

Answer 2

\(5,x\sqrt{x}+1=\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)\\ 6,x+2\sqrt{x}+1=\left(\sqrt{x}+1\right)^2\\ 7,x-2\sqrt{x}+1=\left(\sqrt{x}-1\right)^2\\ 8,x+\sqrt{x}=\sqrt{x}\left(\sqrt{x}+1\right)\)