The expression \(\frac{1}{{x - 1}} - \frac{1}{{x + 1}} - \frac{2}{{{x^2} + 1}} - \frac{4}{{{x^4} + 1}}\) is equal to = ?
\(\frac{8}{{{x^8} + 1}}\)
\(\frac{8}{{{x^8} - 1}}\)
\(\frac{8}{{{x^7} - 1}}\)
\(\frac{8}{{{x^7} + 1}}\)
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1
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If (2a+b)/(a+4b)=3 , then find the value of (a+b)/(a+2b)
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2
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Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
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3
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\(\sqrt {\frac{{{{\left( {0.03} \right)}^2} + {{\left( {0.21} \right)}^2} + {{\left( {0.065} \right)}^2}}}{{{{\left( {0.003} \right)}^2} + {{\left( {0.021} \right)}^2} + {{\left( {0.0065} \right)}^2}}}}\)
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4
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The value of \({ \text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4} \left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right)\) = ?
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5
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Simplify : \(1 - \left[ {1 - \left\{ {1 - \left( {1 - \overline {1 - 1} } \right)} \right\}} \right]\)
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6
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The lowest temperature in the night in a city is one third more than 1/2 the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the lowest temperature?
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7
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Simplify : \(\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] \div \left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] = ?\)
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8
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What number must be added to the expression 16a2 - 12a to make a perfect square ?
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9
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If a - b = 3 and a2 + b2 = 29, find the value of ab = ?
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10
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\(\frac{{{{\left( {469 + 174} \right)}^2} - {{\left( {469 - 174} \right)}^2}}}{{469 \times 174}} \) = ?
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