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. CMR:
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: \(a^3+b^3+c^3+d^3=3\left(b+c\right).\left(ad-bc\right)\)
Cho a+b+c+d= 0
CMR : \(a^3+b^3+c^3+d^3=3\left(b+c\right)\left(ad-bc\right)\)
Cho a+b+c+d=0, Chứng Minh Rằng : a^3+b^3+c^3+d^3=3.(b+c).(ad-bc)
Cho a+b+c+d=0. Chứng minh rằng :
a3+b3+c3+d3=3(b+c)(ad-bc)
Cho a, b, c, d thỏa mãn a + b + c + d = 0; ab + ac + bc = 1. Rút gọn biểu thức P = 3(ab − cd)(bc − ad)(ca − bd) (a 2 + 1)(b 2 + 1)(c 2 + 1) ?
A. -1
B. 1
C. 3
D. -3