解
展開する (s+6)(s+2+3j)(s+2−3j)(s+5−j)(s+5+j)
解
s5+20s4+54j4+153s3+554s2−1374j2+940s−j2s3−793sj2−10j2s2−144s2j2−9s3j2+9sj4+600
解答ステップ
(s+6)(s+2+3j)(s+2−3j)(s+5−j)(s+5+j)
拡張 (s+6)(s+2+3j):s2+8s+3js+18j+12
=(s2+8s+3js+18j+12)(s+2−3j)(s+5−j)(s+5+j)
拡張 (s2+8s+3js+18j+12)(s+2−3j):s3+10s2−54j2+28s−9sj2+24
=(s3+10s2−54j2+28s−9sj2+24)(s+5−j)(s+5+j)
拡張 (s3+10s2−54j2+28s−9sj2+24)(s+5−j):s4+15s3+54j3+78s2−270j2+164s−js3−10js2−99sj2−28js−9s2j2+9sj3−24j+120
=(s4+15s3+54j3+78s2−270j2+164s−js3−10js2−99sj2−28js−9s2j2+9sj3−24j+120)(s+5+j)
括弧を分配する=s4s+s4⋅5+s4j+15s3s+15s3⋅5+15s3j+54j3s+54j3⋅5+54j3j+78s2s+78s2⋅5+78s2j−270j2s−270j2⋅5−270j2j+164ss+164s⋅5+164sj−js3s−js3⋅5−js3j−10js2s−10js2⋅5−10js2j−99sj2s−99sj2⋅5−99sj2j−28jss−28js⋅5−28jsj−9s2j2s−9s2j2⋅5−9s2j2j+9sj3s+9sj3⋅5+9sj3j−24js−24j⋅5−24jj+120s+120⋅5+120j
簡素化 s4s+s4⋅5+s4j+15s3s+15s3⋅5+15s3j+54j3s+54j3⋅5+54j3j+78s2s+78s2⋅5+78s2j−270j2s−270j2⋅5−270j2j+164ss+164s⋅5+164sj−js3s−js3⋅5−js3j−10js2s−10js2⋅5−10js2j−99sj2s−99sj2⋅5−99sj2j−28jss−28js⋅5−28jsj−9s2j2s−9s2j2⋅5−9s2j2j+9sj3s+9sj3⋅5+9sj3j−24js−24j⋅5−24jj+120s+120⋅5+120j:s5+20s4+54j4+153s3+554s2−1374j2+940s−j2s3−793sj2−10j2s2−144s2j2−9s3j2+9sj4+600
=s5+20s4+54j4+153s3+554s2−1374j2+940s−j2s3−793sj2−10j2s2−144s2j2−9s3j2+9sj4+600