Factors of the determinant \(\left| {\begin{array}{*{20}{c}} a&{b + c}&{{a^2}}\\ b&{c + a}&{{b^2}}\\ c&{a + b}&{{c^2}} \end{array}} \right|\)

(a + b), (b + c), (c + a), (a + b + c)

(a - b), (b - c), (c - a), (a + b + c)

(a + b), (b - c), (c + a), (a + b + c)

(a2 + b2), (b2 + c2), (c2 + a2)

Factors of the determinant \(\left| {\begin{array}{*{20}{c}} a&{b + c

1.	Factors of the determinant \(\left\| {\begin{array}{*{20}{c}} a&{b + c}&{{a^2}}\\ b&{c + a}&{{b^2}}\\ c&{a + b}&{{c^2}} \end{array}} \right\|\)
A.	(a - b), (b - c), (c - a), (a + b + c)
B.	(a + b), (b + c), (c + a), (a + b + c)
C.	(a + b), (b - c), (c + a), (a + b + c)
D.	(a2 + b2), (b2 + c2), (c2 + a2)
Answer» B. (a + b), (b + c), (c + a), (a + b + c)

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Factors of the determinant \(\left| {\begin{array}{*{20}{c}} a&{b + c}&{{a^2}}\\ b&{c + a}&{{b^2}}\\ c&{a + b}&{{c^2}} \end{array}} \right|\)

Factors of the determinant \(\left| {\begin{array}{*{20}{c}} a&{b + c}&{{a^2}}\\ b&{c + a}&{{b^2}}\\ c&{a + b}&{{c^2}} \end{array}} \right|\)

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