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(b) 
(1-x^(2))(1-y^(2))+4xy

(b) (1x2)(1y2)+4xy \left(1-x^{2}\right)\left(1-y^{2}\right)+4 x y

Full solution

Q. (b) (1x2)(1y2)+4xy \left(1-x^{2}\right)\left(1-y^{2}\right)+4 x y
  1. Expand Expression: Expand the expression using the distributive property: \(1-x^22)(11-y^22) = 11 - y^22 - x^22 + x^22y^22\.
  2. Add 4xy4xy: Add 4xy4xy to the expanded expression: 1y2x2+x2y2+4xy1 - y^2 - x^2 + x^2y^2 + 4xy.
  3. Combine Like Terms: Combine like terms if possible. There are no like terms to combine, so the expression remains as is: 1y2x2+x2y2+4xy1 - y^2 - x^2 + x^2y^2 + 4xy.
  4. Check for Factorization: Check for any possible factorization or simplification. No further simplification is possible, so the final answer is 1y2x2+x2y2+4xy1 - y^2 - x^2 + x^2y^2 + 4xy.

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