Question

Show that (9p-5q)² + 180pq = (9p + 5q)² by​

Answer 1

Step-by-step explanation:

LHS = RHS HENCE PROVED

SEE THE ABOVE ANSWER

Answer 2

Given :-

• $(9p - 5q)² + 180pq = (9p + 5q)²$

Solution :-

$\implies LHS \: = (9p \: - \: 5q) {}^{2} \: + \: 180 \: pq$

$\implies (9p) {}^{2} \: - \: 2 \: \times \: 9p \: \times \: 5q \: + \: (5q) {}^{2} \: + \: 180pq$

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

$\implies \: (9p) {}^{2} \: + \: 90pq \: + \: (5q) {}^{2}$

$\implies \: RHS \: = (9p \: + \: 5q) {)}^{2}$

$\implies \: LHS = RHS$