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UP TGT Mathematics Algebra Test Series - Part 2

The HCF of polynomials a^3 + b^3 + c^3 - 3abc and (a + b + c)^2 is:

Type: MCQ • Marks: 1
The HCF of polynomials a^3 + b^3 + c^3 - 3abc and (a + b + c)^2 is:
Options
A. 1
B. a^2 + b^2 + c^2
C. a + b + c
D. (a + b + c)^2
Explanation
a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca). The common factor with (a + b + c)^2 is (a + b + c).
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