The value of \(\frac{{{{\left( {x - y} \right)}^3} + {{\left( {y - z} \right)}^3} + {{\left( {z - x} \right)}^3}}}{{{{\left( {{x^2} - {y^2}} \right)}^3} + {{\left( {{y^2} - {z^2}} \right)}^3} + {{\left( {{z^2} - {x^2}} \right)}^3}}}\) is = ?
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0
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1
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\({\left[ {2\left( {x + y + z} \right)} \right]^{ - 1}}\)
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\({\left[ {\left( {x + y} \right)\left( {y + z} \right)\left( {z + x} \right)} \right]^{ - 1}}\)
Solution
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1
Discuss
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If \( \left( {x + \frac{1}{x}} \right){ \text{ = }}\sqrt {13} { \text{,}} \) then the value of \(\left( {{x^3} - \frac{1}{{{x^3}}}} \right)\) is = ?
Solution |
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2
Discuss
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\(1\frac{3}{4} - 1\frac{1}{5} + 1\frac{5}{8} = ?\)
Solution |
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3
Discuss
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If \(\left( {x - \frac{1}{x}} \right){ \text{ = }}\sqrt {21} { \text{,}} \) then the value of \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right) \left( {x + \frac{1}{x}} \right)\) is = ?
Solution |
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4
Discuss
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3.325 + 3.012 + 0.660 + 31.151 + 0.251 = ?
Solution |
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5
Discuss
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If \(\root 3 \of {{3^n}} { \text{ = 27,}}\) then the value of n is = ?
Solution |
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6
Discuss
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\(4\frac{4}{5} \div 6\frac{2}{5} = ?\)
Solution |
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7
Discuss
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Solve this 9 3/7 - 6 4/7 - ? = 14 4/7
Solution |
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8
Discuss
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Simplify : \(\frac{{\frac{5}{3} \times \frac{7}{{51}}{ \text{ of }}\frac{17}{5} - \frac{1}{3}}}{{\frac{2}{9} \times \frac{5}{7}{ \text{ of }}\frac{{28}}{5} - \frac{2}{3}}}{\kern 1pt} {\kern 1pt} = ?\)
Solution |
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9
Discuss
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Assume that \(\sqrt {13} \) = 3.605(approximately) and \(\sqrt {130}\) = 11.40(approximately) Find the value of: \(\sqrt {1.3}\) + \(\sqrt {1300}\) + \(\sqrt {0.013}\)
Solution |
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10
Discuss
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If \(\left( {x + \frac{1}{x}} \right) = 3,\) then \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\) is = ?
Solution |
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