Question

please solve 5th question part 2

Answer 1

$\textbf{ Hello Mate! }$

Question 5th, 2nd part.

$LHS = {(9p - 5q)}^{2} - 180 \\ = {(9p)}^{2} + {(5q)}^{2} - 2(9p)(5q) + 180pq\\ = 81 {p}^{2} + 25 {q}^{2} - 90pq + 180pq \\ = 81 {p}^{2} + 25 {q}^{2} + 90pq \\ = {(9p)}^{2} + {(5q)}^{2} + 2(9p)(5q) \\ = {(9p + 5q)}^{2} \\ RHS= {(9p + 5q)}^{2} \:$

LHS = RHS

$\textbf{ Hence Proved }$

Have great future ahead!