упростите выражение (m/3+n^2)(m^2/9-mn^2/3+n^4)
Ответы на вопрос
___ 4 / 2 2 /atan2(-im(m), -re(m)) ___ 4 / 2 2 /atan2(-im(m), -re(m))
/ 3 */ im (m) + re (m) *cos|---------------------| I*/ 3 */ im (m) + re (m) *sin|---------------------|
2 / 2 /
n1 = - ----------------------------------------------------- - -------------------------------------------------------
3 3
_________________ _________________
___ 4 / 2 2 /atan2(-im(m), -re(m)) ___ 4 / 2 2 /atan2(-im(m), -re(m))
/ 3 */ im (m) + re (m) *cos|---------------------| I*/ 3 */ im (m) + re (m) *sin|---------------------|
2 / 2 /
n2 = ----------------------------------------------------- + -------------------------------------------------------
3 3
_________________________________________________ / / ___ ___ \ _________________________________________________ / / ___ ___ \
/ 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)|| / 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)||
/ / ___ / ___ |atan2|----- - -----------, ----- + -----------|| / / ___ / ___ |atan2|----- - -----------, ----- + -----------||
/ |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /| / |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /|
n3 = - 4 / |----- - -----------| + |----- + -----------| *cos|-----------------------------------------------| - I*4 / |----- - -----------| + |----- + -----------| *sin|-----------------------------------------------|
/ 6 6 / 6 6 / 2 / / 6 6 / 6 6 / 2 /
_________________________________________________ / / ___ ___ \ _________________________________________________ / / ___ ___ \
/ 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)|| / 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)||
/ / ___ / ___ |atan2|----- - -----------, ----- + -----------|| / / ___ / ___ |atan2|----- - -----------, ----- + -----------||
/ |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /| / |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /|
n4 = 4 / |----- - -----------| + |----- + -----------| *cos|-----------------------------------------------| + I*4 / |----- - -----------| + |----- + -----------| *sin|-----------------------------------------------|
/ 6 6 / 6 6 / 2 / / 6 6 / 6 6 / 2 /
_________________________________________________ / / ___ ___ \ _________________________________________________ / / ___ ___ \
/ 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)|| / 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)||
/ / ___ / ___ |atan2|----- + -----------, ----- - -----------|| / / ___ / ___ |atan2|----- + -----------, ----- - -----------||
/ |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /| / |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /|
n5 = - 4 / |----- + -----------| + |----- - -----------| *cos|-----------------------------------------------| - I*4 / |----- + -----------| + |----- - -----------| *sin|-----------------------------------------------|
/ 6 6 / 6 6 / 2 / / 6 6 / 6 6 / 2 /
_________________________________________________ / / ___ ___ \ _________________________________________________ / / ___ ___ \
/ 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)|| / 2 2 | |im(m) / 3 *re(m) re(m) / 3 *im(m)||
/ / ___ / ___ |atan2|----- + -----------, ----- - -----------|| / / ___ / ___ |atan2|----- + -----------, ----- - -----------||
/ |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /| / |im(m) / 3 *re(m)| |re(m) / 3 *im(m)| | 6 6 6 6 /|
n6 = 4 / |----- + -----------| + |----- - -----------| *cos|-----------------------------------------------| + I*4 / |----- + -----------| + |----- - -----------| *sin|-----------------------------------------------|
/ 6 6 / 6 6 / 2 / / 6 6 / 6 6 / 2 /