81. If $$\frac{a}{b} + \frac{b}{a} = 1{\text{,}}$$ then the value of a3 + b3 will be?
82. If p = 99, then the value of p(p2 + 3p + 3) will be?
83. If a - b = 1 and a3 - b3 = 61, then the value of ab will be?
84. If $${x^2} + 5x + 6 = 0{\text{,}}$$ then the value of $$\frac{{2x}}{{{x^2} - 7x + 6}}$$ is?
85. If a + b = 5 and a - b = 3, then the value of (a2 + b2) is?
86. If $$x = a + \frac{1}{a}$$ and $$y = a - \frac{1}{a},$$ then the value of x4 + y4 - 2x2y2 is?
87. If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$ then find the value of $${x^3} + \frac{1}{{{x^3}}}$$ = ?
88. If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$ $${\text{x}} \ne {\text{0,}}$$ then find the value of $${x^2} + \frac{1}{{16{x^2}}} - 2$$ = ?
89. If $$x = \frac{1}{{\left( {\sqrt 2 + 1} \right)}}{\text{,}}$$ the value of x2 + 2x - 1 is?
90. If $$x + \frac{1}{x} = \sqrt {13} {\text{,}}$$ then $$\frac{{3x}}{{\left( {{x^2} - 1} \right)}}$$ equal to?
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