Rozwiąrz używając wzoru na różnicę sześcianu
(3√2 - 2)³ = (3√2)³ -3*(3√2)²*2 + 3* 3√2*(2)² - 2³ =
= 27*2*√2 - 3*9*2*2 + 3*3√2 *4 - 8 =
= 54√2 - 108 + 36√2 - 8 =
= 90√2 - 116
Stosuję wzór: (a - b)³ = a³ - 3*a²*b + 3*a*b² - b³
(3√2-2)³=
=54√2- 108 + 36√2 - 8 =
=90√2 - 116
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(3√2 - 2)³ = (3√2)³ -3*(3√2)²*2 + 3* 3√2*(2)² - 2³ =
= 27*2*√2 - 3*9*2*2 + 3*3√2 *4 - 8 =
= 54√2 - 108 + 36√2 - 8 =
= 90√2 - 116
Stosuję wzór: (a - b)³ = a³ - 3*a²*b + 3*a*b² - b³
(3√2-2)³=
=54√2- 108 + 36√2 - 8 =
=90√2 - 116