a+b+c+d=0
=> a + b = -(c+d)
=> (a+b)^3 = -(c+d)^3
=> a^3 + b^3 + 3ab (a+b) = -c^3- d^3 - 3cd (c+d)
=> a^3+b^3+c^3+d^3 = -3ab (a+b) - 3cd (c+d)
=> a^3 + b^3 + c^3 + d^3 = 3ab (c+d)- 3cd (c+d) [vì a+b = - (c+d)]
==> a^3 + b^^3 + c^3 + d^3 =3 (c+d) (ab-cd) (đpcm)
cho a+b+c+d=0 c/m a^3+b^3+c^3+d^3=3(b+c)(ad-bc)
cho a+b+c+d= 0
CMR
a^3 + b^3 + c^3 + d^3 = 3(b+c)(ad-bc)
Cho a+b+c+d=0. Chứng minh rằng a^3+b^3+c^3+d^3=3(b+c)(ad-bc)
Hiuhiu mọi ngừi giúp mik vứii aaaT.T
Cho a-b+c+d=0 cmr:a^3-b^3+c^3+d^3=3(c-d)(ab-cd)
Giúp mình với mai mình phải nộp rồi.
Cho a+b+c+d=0.CMR: \(a^3+b^3+c^3+d^3=3\left(b+c\right).\left(ad-bc\right)\)
Cho :
\(a+b+c+d=0\)
\(CMR:a^3+b^3+c^3+d^3=3\left(ab+cd\right)\left(c+d\right)\)
Cho a+b+c+d= 0
CMR : \(a^3+b^3+c^3+d^3=3\left(b+c\right)\left(ad-bc\right)\)
Cho a+b+c+d=0, Chứng Minh Rằng : a^3+b^3+c^3+d^3=3.(b+c).(ad-bc)
cho a^3+b^3+c^3=3abc .cmr:a+b+c=0 hoặc a=b=c