Ex 8.4, 3 (viii) - Chapter 8 Class 8 Algebraic Expressions and Identities
Last updated at Dec. 16, 2024 by Teachoo
Multiplication of Polynoimals by Polynomials
Multiplying Binomial by a Binomial
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Chapter 8 Class 8 Algebraic Expressions and Identities
Concept wise
- Basic Definitions
- Addition and Subtraction of Algebraic Expressions
- Multiplication of Monomials
- Multiplication of Monomials by Binomials and Trinomials
-
Multiplication of Polynoimals by Polynomials
- Algebra Identities - Identity I
- Algebra Identities - Identity II
- Algebra Identities - Identity III
- Algebra Identities - Identity IV
Transcript
Ex 8.4, 3 Simplify. (viii) (𝑎+𝑏+𝑐)(𝑎+𝑏−𝑐) (𝑎+𝑏+𝑐)(𝑎+𝑏−𝑐) = 𝑎(𝑎+𝑏−𝑐)+𝑏(𝑎+𝑏−𝑐)+𝑐(𝑎+𝑏−𝑐) = (𝒂 × 𝒂)+(𝒂 × 𝒃)−(𝒂 × 𝒄)+(𝒃 × 𝒂)+(𝒃 × 𝒃)−(𝒃 × 𝒄) + (𝒄 × 𝒂)+(𝒄 × 𝒃)−(𝒄 × 𝒄) = 𝑎^2+𝑎𝑏−𝑎𝑐+𝑏𝑎+𝑏^2−𝑏𝑐+𝑐𝑎+𝑐𝑏−𝑐^2 = 𝑎^2+𝑎𝑏−𝑎𝑐+𝑎𝑏+𝑏^2−𝑏𝑐+𝑎𝑐+𝑏𝑐−𝑐^2 = 𝑎^2+𝑏^2−𝑐^2+𝑎𝑏+𝑎𝑏−𝑏𝑐+𝑏𝑐−𝑎𝑐+𝑎𝑐 = 𝒂^𝟐+𝒃^𝟐−𝒄^𝟐+𝟐𝒂𝒃
