Find the square of the number 82 using the property (a + b)2 = a2 + b2 + 2ab.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

822 = (80 + 2)2

In the property (a + b)2 = a2 + b2 + 2ab, put a = 80 and b = 2, we get:

(80 + 2)2 = 802 + 22 + 2 x 80 x 2

                = 6400 + 4 + 320

                = 6724

Answered by  | 4th Jun, 2014, 03:23: PM