Question

find the product of 56 X 102 by using suitable property and also name the property​

Answer 1

56×102

56×56×2

56²×2

(60-4)²×2

{(60)²-2.60.4+4²}2

(3600-480+16)2

(3136)(2)

6272

The name of the property is (a-b)²

Hope this helps you

Answer 2

Answer:

Step-by-step explanation:

56=79-23

102=79+23

Therefore, 56*102 = (79+23)(79-23)

= (79)^2 - (23)^2

= (80-1)^2 - (20+3)^2

= 80^2 - 2(80)(1) + (1)^2 - [(20)^2 + 2(20)(3) + (3)^2]

= 6400 - 160 + 1 - [400 + 120 + 9]

= 6241 - 529

= 5712

Algebraic Identity used : (a+b)(a-b) = a^2-b^2,

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

(a-b)^2 = a^2 - 2ab - b^2.

HOPE IT HELPS