81. If $${a^{\frac{1}{3}}} = 11,$$ then the value of a2 - 331a is?
82. If a2 + b2 = 2 and c2 + d2 = 1, then the value of (ad - bc)2 + (ac - bd)2 is?
83. If $$x = \frac{{4ab}}{{a + b}}{\text{ }}a \ne b,$$ the value of $$\frac{{x + 2a}}{{x - 2a}}$$ + $$\frac{{x + 2b}}{{x - 2b}}$$ is?
84. If $$m + \frac{1}{{m - 2}} = 4{\text{,}}$$ find the value of $${\left( {m - 2} \right)^2}{\text{ + }}\frac{1}{{{{\left( {m - 2} \right)}^2}}}$$ is?
85. If a2 + b2 + 2b + 4a + 5 = 0, then the value of $$\frac{{a - b}}{{a + b}}\,{\text{is?}}$$
86. If a + b + c = 0, then the value of
$$\frac{1}{{\left( {a + b} \right)\left( {b + c} \right)}} + $$ $$\frac{1}{{\left( {a + c} \right)\left( {b + a} \right)}} + $$ $$\frac{1}{{\left( {c + a} \right)\left( {c + b} \right)}}$$ $$ = ?$$
87. If x2 + y2 - 4x - 4y + 8 = 0, then the value of x - y is?
88. If x = b + c - 2a, y = c + a - 2b, z = a + b - 2c, then the value of x2 + y2 - z2 + 2xy is?
89. If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$ then the value of x18 + x12 + x6 + 1 is?
90. If $${x^2} - 3x + 1 = 0,$$ then the value of $${x^3}{\text{ + }}\frac{1}{{{x^3}}}\,{\text{is?}}$$
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