해법
확장 18((x−1)3(x−3)11)
해법
18x14−648x13+10746x12−108720x11+749034x10−3713688x9+13648338x8−37721376x7+78666390x6−122979384x5+141599502x4−116208432x3+64127214x2−21257640x+3188646
솔루션 단계
18((x−1)3(x−3)11)
괄호 제거: (a)=a=18(x−1)3(x−3)11
(x−1)3=x3−3x2+3x−1
=18(x3−3x2+3x−1)(x−3)11
(x−3)11=x11−33x10+495x9−4455x8+26730x7−112266x6+336798x5−721710x4+1082565x3−1082565x2+649539x−177147
=18(x3−3x2+3x−1)(x11−33x10+495x9−4455x8+26730x7−112266x6+336798x5−721710x4+1082565x3−1082565x2+649539x−177147)
(x3−3x2+3x−1)(x11−33x10+495x9−4455x8+26730x7−112266x6+336798x5−721710x4+1082565x3−1082565x2+649539x−177147)확대한다:x14−36x13+597x12−6040x11+41613x10−206316x9+758241x8−2095632x7+4370355x6−6832188x5+7866639x4−6456024x3+3562623x2−1180980x+177147
=18(x14−36x13+597x12−6040x11+41613x10−206316x9+758241x8−2095632x7+4370355x6−6832188x5+7866639x4−6456024x3+3562623x2−1180980x+177147)
18(x14−36x13+597x12−6040x11+41613x10−206316x9+758241x8−2095632x7+4370355x6−6832188x5+7866639x4−6456024x3+3562623x2−1180980x+177147)확대한다:18x14−648x13+10746x12−108720x11+749034x10−3713688x9+13648338x8−37721376x7+78666390x6−122979384x5+141599502x4−116208432x3+64127214x2−21257640x+3188646
=18x14−648x13+10746x12−108720x11+749034x10−3713688x9+13648338x8−37721376x7+78666390x6−122979384x5+141599502x4−116208432x3+64127214x2−21257640x+3188646