1.

The polynomial `x^(5) - a^(2)x^(3) - x^(2) y^(3) + a^(2) y^(3)` on factorization givesA. `(x -y) (x -a) (x +a) (x^(2) + y^(2) + xy)`B. `(x +a) (x -y) (x -a) (x^(2) -y^(2) + xy)`C. `(x + a) (x + y) (x -a) (x^(2) + y^(2) + xy)`D. None of these

Answer» Correct Answer - A
(i) Take common terms and factorize
(ii) Form the first two terms take `x^(3)` common and from last two terms take `y^(3)` common
(iii) Again take `x^(2) -a^(2)` common in the product
(iv) Now write the factors of `a^(2) -b^(2) and a^(3) + b^(3)`


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