If x(22)=y(2+2)=1x(22)=y(2+2)=1, find the value of x2y2.


Answer:

22

Step by Step Explanation:
  1. Since x(22)=1, we can say that x=122.
  2. Now if we multiply both numerator and denominator of the given fraction by 2+2, we get:
    122×2+22+2
     The denominator =(22)(2+2)=(22(2)2)=(42)=2
  3. From above steps we get x=2+22.
  4. Similarly, for y(2+2)=1, we can say that:
    y=12+2.
  5. Now if we multiply both numerator and denominator by 22, we get:
    12+2×2222
     The denominator =(2+2)(22)=(22(2)2)=(42)=2
  6. From the step 4 and 5, we get: y=222.
  7.  Now the value x2y2=(2+22)2(222)2=(22+2+42422+2424)=22+2+42222+424=22

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