please explain me that what is an identity of an equation

Asked by amu_bgr | 9th May, 2019, 11:41: AM

Expert Answer:

An identity is an equality relation, X = Y is identically equal where X & Y contain some variables.

Example:

(a + b)2 = a2 + 2ab + b2

Here X = (a + b)2 and Y = a2 + 2ab + b2

Put a = 1 and b = 2 in X and Y

So, X = (1 + 2)2 = 3 = 9

a2 + 2ab + b2 = (1)2 + 2(1)(2) + (2)2 = 1 + 4 + 4 = 9

→ X = Y

For any value of a and b, (a + b)= a2 + 2ab + b2 is true.

(a + b)= a2 + 2ab + b is an identity.

Answered by Yasmeen Khan | 9th May, 2019, 12:44: PM