Maths-
General
Easy

Question

Find the missing term in open parentheses fraction numerator 3 x over denominator 4 end fraction minus fraction numerator 4 y over denominator 3 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 9 x to the power of 2 end exponent over denominator 16 end fraction plus horizontal ellipsis.. plus fraction numerator 16 y to the power of 2 end exponent over denominator 9 end fraction

  1. 2xy    
  2. -2xy    
  3. 12xy    
  4. -12xy    

The correct answer is: -2xy


    To find the missing term

    In the question we were given with the following expression
    open parentheses fraction numerator 3 x over denominator 4 end fraction space minus fraction numerator 4 y over denominator 3 end fraction close parentheses squared equals fraction numerator 9 x squared over denominator 16 end fraction plus..... plus fraction numerator 16 y squared over denominator 9 end fraction
N o w space w e space c a n space c l e a r l y space s a y space t h a t space i t space i s space i n space t h e space f o r m space left parenthesis a minus b right parenthesis squared equals a to the power of 2 end exponent plus b squared minus 2 a b
H e r e minus space 2 a b space t e r m space i s space m i s sin g
H e n c e minus space 2 cross times fraction numerator 3 x over denominator 4 end fraction cross times fraction numerator 4 y over denominator 3 end fraction equals negative 2 x y

    Hence option 2 is correct

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