SPECIAL PRODUCTS AND FACTORIZATION

SPECIAL PRODUCTS and FactorizationNotesMODULE - 1 AlgebraMathematics Secondary Course 1004 SPECIAL PRODUCTS ANDFACTORIZATIONIn an earlier lesson you have learnt multiplication of algebraic expressions, particularlypolynomials. In the study of algebra, we come across certain PRODUCTS which occur veryfrequently. By becoming familiar with them, a lot of time and labour can be saved as inthose PRODUCTS , multiplication is performed without actually writing down all the steps. Forexample, PRODUCTS , such as 108 108, 97 97, 104 96, 99 99 99, can be easilycalculated if you know the PRODUCTS (a + b)2, (a b)2, (a + b) (a b), (a b)3 PRODUCTS are called SPECIAL is a process of finding the factors of certain given PRODUCTS such as a2 b2,a3 + 8b3, etc. We will consider factoring only those polynomials in which coefficients this lesson, you will learn about certain SPECIAL PRODUCTS and FACTORIZATION of certainpolynomials.

In the end you will be made familiar with rational algebraic expressions and to perform fundamental operations on rational expressions. OBJECTIVES ... (a b) (a 2 2ab + b 2) [using laws of exponents) a ( =a 2 2ab + b 2) b (a 2 2ab + b 2) [Distributive laws) =a3 2a 2b + ab 2 a2b + 2ab 2 b 3 =a3 3a 2b + 3ab 2 b 3 =a3 3ab(a b) b 3

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  Using, Rational, Exponent

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