Ex 8.4, 3 (vi) - 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. (vi) (𝑥+𝑦)(𝑥^2−𝑥𝑦+𝑦^2 ) (𝑥+𝑦)(𝑥^2−𝑥𝑦+𝑦^2 ) = 𝑥(𝑥^2−𝑥𝑦+𝑦^2 )+𝑦(𝑥^2−𝑥𝑦+𝑦^2 ) = (𝒙×𝒙^𝟐 )−(𝒙×𝒙𝒚)+(𝒙×𝒚^𝟐 )+(𝒚×𝒙^𝟐 )−(𝒚×𝒙𝒚)+(𝒚×𝒚^𝟐 ) = 𝑥^3−𝑥^2 𝑦+𝑥𝑦^2+𝑦𝑥^2−𝑥𝑦^2+𝑦^3 = 𝑥^3−𝑥^2 𝑦+𝑥^2 𝑦+𝑥𝑦^2−𝑥𝑦^2+𝑦^3 = 𝑥^3−𝑥^2 𝑦+𝑥^2 𝑦+𝑦^3 = 𝒙^𝟑+𝒚^𝟑
