Question

Factorise using suitable identities.
(i) (a – b)^2 + 4ab
(ii) m^2- 256

Answer 1

(a + b)^2 - 4ab

a^2 + b^2 + 2ab - 4ab

a^2 + b^2 - 2ab

(a - b)(a - b)

Answer 2

Step-by-step explanation:

The factories form is (a + b)? — 4ab 3D (а — b) (а — b).

Step-by-step explanation:

Given : Expression (a + b)2 – 4ab

To find : Factories the expression ?

Solution :

Expression (a + b)² – 4ab .

Open the square,

(а + b)? — 4ab — а? + в? + 2fb — 4ab |

(a + b)2 4ab = a² + b? 2ab

(a + b)? 4ab = (a – b)?

(a + b)2 – 4ab = (a - b)(a - b)

Therefore, the factories form is (a + b)2 – 4ab = (a - b)(a – b) .