Question

$rhs = lhs$

Answer 1

LHS = (9p - 5 q)2 + 180pq
= (9p)2 - 2(9p)(5q) +(5q)2 + 180 pq
= 81p2 - 90pq + 25q2 + 180pq
= 81p2 + (- 90pq +180)pq + 25q2
= 81p2 + 90pq + 25q2

RHS = (9p + 5q)2
= (9p)2 + 2(9p)(5q) +(5q)2
= 81p2 + 90pq + 25q2

Since, LHS = RHS


∴ (9p - 5 q)2 + 180pq = (9p + 5q)2

Answer 2

Hey !!

By using (a-b)²- 4ab = (a+b)²

See this ..how i prooved ..

(9p - 5q)² + 18pq

=> (9p-5q) + 4× 5p × 9p

so, Here is by using (a - b) ²-4ab = (a+b)²

so...here prooved
(9p -5q)² + 180pq = (9q+5q)²

hope it helps !!

#Rajukumar111