证明行列式
a^2(a+1)^2(a+2)^2(a+3)^2b^2(b+1)^2(b+2)^2(b+3)^2c^2(c+1)^2(c+2)^2(c+3)^2=0d^2(d+1)^2(...
a^2 (a+1)^2 (a+2)^2 (a+3)^2
b^2 (b+1)^2 (b+2)^2 (b+3)^2
c^2 (c+1)^2 (c+2)^2 (c+3)^2 =0
d^2 (d+1)^2 (d+2)^2 (d+3)^2 展开
b^2 (b+1)^2 (b+2)^2 (b+3)^2
c^2 (c+1)^2 (c+2)^2 (c+3)^2 =0
d^2 (d+1)^2 (d+2)^2 (d+3)^2 展开
展开全部
a^2 (a+1)^2 (a+2)^2 (a+3)^2
b^2 (b+1)^2 (b+2)^2 (b+3)^2
c^2 (c+1)^2 (c+2)^2 (c+3)^2
d^2 (d+1)^2 (d+2)^2 (d+3)^2 =
a^2 2a+1 4a+4 6a+9
b^2 2b+1 4b+4 6b+9
c^2 2c+1 4c+4 6c+9
d^2 2d+1 4d+4 6d+9 =
a^2 2a+1 2 6
b^2 2b+1 2 6
c^2 2c+1 2 6
d^2 2d+1 2 6 =
a^2 2a+1 2 0
b^2 2b+1 2 0
c^2 2c+1 2 0
d^2 2d+1 2 0 = 0
b^2 (b+1)^2 (b+2)^2 (b+3)^2
c^2 (c+1)^2 (c+2)^2 (c+3)^2
d^2 (d+1)^2 (d+2)^2 (d+3)^2 =
a^2 2a+1 4a+4 6a+9
b^2 2b+1 4b+4 6b+9
c^2 2c+1 4c+4 6c+9
d^2 2d+1 4d+4 6d+9 =
a^2 2a+1 2 6
b^2 2b+1 2 6
c^2 2c+1 2 6
d^2 2d+1 2 6 =
a^2 2a+1 2 0
b^2 2b+1 2 0
c^2 2c+1 2 0
d^2 2d+1 2 0 = 0
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