Q : 5      Show that 

            (ii)  (9p-5q)^2+180pq=(9p+5q)^2

Answers (1)

L.H.S. =  (9p-5q)^2+180pq = 81p^2 - 90pq + 25q^2 + 180pq                (Using (a-b)^2 = a^2 - 2ab + b^2)

                                                         = 81p^2 +90pq + 25q^2

                                                         = (9p + 5q)^2                                                      \left ( (a+b)^2 = a^2 + 2ab + b^2 \right )

                                                         = R.H.S.

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