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a^6- 1 = (a^2)³ - 1³ Using the formula, x³-y³=(x-y)(x^2+ y^2+xy) (a^2)³ - 1³ = (a^2- 1) (a^4+ 1+ a^2 ×1) = (a^2- 1) (a^4+ 1+ a^2) ......................................(i) a^4+ 2a³-2a-1 = a^(4 )– 1+2a(a^2- 1) = (a^2)²- 1²+2a(a^2- 1) = (a^2 + 1) (a²-1) +2a(a^2- 1) = (a^2- 1) (a^2 + 1 +2a) ..........................................(ii) From equation (i) and (ii) HCF is the common term = a^2- 1
Statements: A @ D % M % N; M $ P $ Q
Conclusions : I. D % Q I...
Statements: U > H ≥ W; S > T ≥ B; S < H; C ≤ D = U
Conclusions:
I. D > B
II. T < U
III. W ≤ D
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are definitely true...
Statements: M * T, D % T, D # K, K $ R
Conclusions: I. M * D II. T # K II...
Statements: S = T, U < L, V ≥ S, T ≤ U
Conclusion:
I. T ≤ V
II. L > T
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely tr...
Statements: X ≥ Y= Z ≤ A, K < A ≤ M < W
Conclusion:
I. M = Y
II. M > Y
III. K ≤ Y
Statements: G > N > P = E ≥ H < L; M < E < B < C = Q > X; U > W > Y = Q > H
Conclusions:
I). U > P
II). Y > P...
Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given ...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
