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Question

Please factorise the expression completely:  (1-a2) (1-b2) + 4ab

I can’t solve this… Pls help and thank you.

Answer

(1 – a²)(1 – b²) + 4ab

=  1 – a² – b² + a²b² + 4ab

= 1 + 2ab + a²b² – (a² – 2ab + b²)

= (1 + ab)² – (a – b)²

=(1 + ab + a – b) (1 + ab – a + b)

 

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Thank you!

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