Question

Using standard formula expanded each of the following (5a+3b)^2-(5a-3b)^2-60ab

Answer 1

Answer:

$= (5a + 3b)^{2} - (5a - 3b)^{2} - 60ab\\\\= [5a + 3b - (5a - 3b)][5a + 3b + (5a - 3b)] - 60ab\\\\= [5a + 3b - 5a + 3b][5a + 3b + 5a - 3b] - 60ab\\\\= [6b][10a] - 60ab\\\\= [60ab] - 60ab\\\\= 0$

Answer 2

Answer:

Question :-

➪ (5a + 3b)² - (5a - 3b)² - 60ab

Formula used :-

➭ a² - b² = (a + b) (a - b)

Answer :-

➪ (5a + 3b)² - (5a - 3b)² - 60ab

➔ {(5a + 3b) + (5a - 3b)} {(5a + 3b) - (5a - 3b)} - 60ab

➔ (5a + 3b + 5a - 3b) (5a + 3b - 5a + 3b) - 60ab

➔ (5a + 5a + 3b - 3b) (5a - 5a + 3b + 3b) - 60ab

➔ (10a) (6b) - 60ab

➔ 10a × 6b - 60ab

➔ 60ab - 60ab

➔ 0