Question

Answer 1

`a)A=x-8\sqrt{x}+16`

`<=>A=(\sqrt{x})^2-2\sqrt{x}.4+4^2`

`<=>A=(\sqrt{x}-4)^2`

`b)B=9x-6\sqrt{x}+1`

`<=>B=(3\sqrt{x})^2-2.3\sqrt{x}+1`

`<=>B=(3\sqrt{x}-1)^2`

`c)C=x-36`

`<=>C=(\sqrt{x})^2-6^2`

`<=>C=(\sqrt{x}-6)(\sqrt{x}+6)`

`d)D=x-2\sqrt{x}-8`

`<=>D=(\sqrt{x})^2-2\sqrt{x}+1-9`

`<=>D=(\sqrt{x}-1)^2-3^2`

`<=>D=(\sqrt{x}-1-3)(\sqrt{x}-1+3)`

`<=>D=(\sqrt{x}-4)(\sqrt{x}+2)`

`e)E=x+4\sqrt{x}-24`

`<=>E=(\sqrt{x})^2+4\sqrt{x}+4-28`

`<=>E=(\sqrt{x}+2)^2-(2\sqrt{7})^2`

`<=>E=(\sqrt{x}+2-2\sqrt{7})(\sqrt{x}+2+2\sqrt{7})`