Question

show that (6a-5b)^2 - (6a+5b)^2 = -120ab

Answer 1

Step-by-step explanation:

(6a - 5b) ^2-(6a + 5 b) ^2 = -120ab

Using (a+b)^2 = (a) ^2 + (b)^2 + 2(a)(b)

(a-b)^2 = (a) ^2 + (b) ^2 - 2(a)(b)

(6a)^2 + (5b)^2 - 2(6a)(5b)-(6a)^2+(5b)^2 - 2(6a)(5b)

- 60ab - 60ab

- 120ab