1.

Factorize `sum_(a, b c) a^(2) (b^(4) -c^(4))`A. `(a -b)^(2) (b -c)^(2) (c -a)^(2)`B. `(a -b) (a +b) (b -c) (b +c) (c -a) (c +a)`C. `(a + b)^(2) (b +c)^(2) (c + a)^(2)`D. None of these

Answer» Correct Answer - B
(i) Factorize the cyclic expression.
(ii) Put `b -c`, the expression become zer, i.e., `b -c` is a factor of the expression.
(iii) Similarly `(a -b) and (c -a)` are also the factors of the expression.
(iv) Since the degree of the expression is 4, the fourth is `k(a +b +)`


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