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  2. Use a suitable identity to get each of the following products in bracket (a^2 + b^2 ) (– a^2 + b^2 )

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Use a suitable identity to get each of the following products in bracket (a^2 + b^2 ) (– a^2 + b^2 )

Q : 1     Use a suitable identity to get each of the following products in bracket.

            (vi) (a^2+b^2)(-a^2+b^2)

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G Gautam harsolia

take the (-)ve sign common so our question becomes 
                                                           --(a^{2}+b^{2})(a^{2}-b^{2})
We use identity III for this which is 
                                                    (a - b)(a + b) =  a^{2} - b^{2}
In this a = a^{2} and b = b^{2}   

                                       -(a^{2}+b^{2})(a^{2}-b^{2}) = -((a^{2})^{2} -(b^{2})^{2}) = -a^{4} + b^{4}      

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