Maths AIL
Updated: 1/31/2021
Maths AIL

Storyboard Text

  • Now can anyone tell me what are algebraic identities?
  • Dear Students, today we will be doing the chapter algebraic expressions and their identities
  • They are also used for the factorization of polynomials.
  • The algebraic equations which are valid for all values of variables in them are called algebraic identities.
  • There ae 4 standard identities
  • Identity I: (a + b)2 = a2 + 2ab + b2Identity II: (a – b)2 = a2 – 2ab + b2
  • Identity III: a2 – b2= (a + b)(a – b)Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab
  • Very Good!!These identities are-
  • Ma'am, can I try?
  • Now lets do an example: Find the product of (x + 1)(x + 1) using standard algebraic identities.
  • sure!
  • (x + 1)(x + 1) can be written as (x + 1)2. Thus, it is of the form Identity I where a = x and b = 1. So we have,(x + 1)2 = (x)2 + 2(x)(1) + (1)2 = x2 + 2x + 1
  • wow! correct.Good job children!!
  • sure!
  • Thank You so much ma'am.We had fun today!
  • This sure is an interisting chapter!Thank You