Question

Show that: (9p – 5q)2 + 180 pq = (9p+5q)2​

Answer 1

Answer:

Step-by-step explanation:

LHS =

$(9p - 5q)^{2} + 180pq\\= (9p)^2 - 2(9p)(5q) + (5q)^2 + 180pq\\= (9p)^2 - 90pq + (4q)^2 + 180pq\\= (9p)^2+ (180 - 90)pq + (4q)^2 \\= (9p)^2 +90pq + (4q)^2\\= (9p)^2 +2(9p)(5q) + (5q)^2\\= (9p + 5q)^{2}$

= RHS

Hence the answer is proved

Answer 2

I hope it will help you