Quiz Discussion

$\frac{{{{\left( {469 + 174} \right)}^2} - {{\left( {469 - 174} \right)}^2}}}{{469 \times 174}}$      = ?

• 1] 2
• 2] 4
• 3] 295
• 4] 643

If $x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}}$ then the value of ${x^3} - \frac{1}{{{x^3}}}$  is?

• 1]

  $10\sqrt 2$

• 2]

  $14\sqrt 2$

• 3]

  $22\sqrt 2$

• 4]

  $8\sqrt 2$

Simplify : ${{{5 \over 3} \times {7 \over {51}}{ \text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{ \text{ of }}{{28} \over 5} - {2 \over 3}}}$

• 1]

  1/2

• 2]

  4

• 3]

  2

• 4]

  1/4

If (2a+b)/(a+4b)=3 , then find the value of (a+b)/(a+2b)

• 1]

  10/9

• 2]

  1/9

• 3]

  11/7

• 4]

  8/7

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 = ?

• 1]

  0

• 2]

  1

• 3]

  ${\left[ {2\left( {x + y + z} \right)} \right]^{ - 1}}$

• 4]

  ${\left[ {\left( {x + y} \right)\left( {y + z} \right)\left( {z + x} \right)} \right]^{ - 1}}$