Q : 4        Consider the special case of Identity (IV) with b=-a. What do you get? Is it
                related to Identity (III)?

Answers (1)

Identity IV is \Rightarrow (a+x )(b +x) = x^{2} + (a+b)x + ab
If b = -a than,

                (x + a)(x - a) = x^{2} + (a +(-a))x + (-a) \times a
                                     =x^{2} - a^{2}
Which is identity III 

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