[tex](3x+5)^{2} - (x+1)^{2} =9 x^{2} +30x+25- x^{2} -2x-1=8 x^{2} +28x+24 [/tex]
[tex] (x+ \sqrt{2} )^{-8} = \frac{1}{(x+ \sqrt{2} )^{8}} = \frac{1}{[(x+ \sqrt{2} )^{2}]^4}} = \frac{1}{ (x^{2} +2 \sqrt{2}x+2)4 } [/tex]
[tex] (2x+ \sqrt{3} )^{2} -27=4 x^{2} +4 \sqrt{3} x+3-27=4 x^{2}+4 \sqrt{3} x-24= \\ =4( x^{2} + \sqrt{3} x-6)[/tex]
