Răspuns:
[tex]22\sqrt{2} -25[/tex]
Explicație pas cu pas:
[tex](2\sqrt{2} -1)^3[/tex]
[tex]folosind[/tex] [tex]formula:[/tex] [tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex] [tex]calculam:[/tex]
[tex](2\sqrt{2} -1)^3=[/tex]
[tex](2\sqrt{2} )^3-3*(2\sqrt{2} )^2*1+3*2\sqrt{2} *1^2-1^3=[/tex]
[tex]8*2\sqrt{2} -3*4*2*1+3*2\sqrt{2} *1-1=[/tex]
[tex]16\sqrt{2} -24+6\sqrt{2} -1=[/tex]
[tex]16\sqrt{2} +6\sqrt{2} -24-1=[/tex]
[tex]22\sqrt{2} -25[/tex]
