Question

show that [9p-5q]^2 + 180 pq=[9p + 5q] ^2

Answer 1

Answer:(9p−5q)2+180pq=(9p+5q)2

LHS=(9p)2−2(9p)(5q)+(5q)2+180pq

      =81p2−90pq+25q2+180pq

      =81p2+90pq+25q2

RHS=(9p+5q)2

      =(9p)2+2(9p)(5q)+(5q)2

      =81p2+90pq+25q2

LHS=RHS

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