Ex 8.4, 3 (v) - Chapter 8 Class 8 Algebraic Expressions and Identities
Last updated at December 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. (v) (š„+š¦)(2š„+š¦)+(š„+2š¦)(š„āš¦)Here, there are 2 expressions 1st expression = (š„+š¦)(2š„+š¦) 2nd expression = (š„+2š¦)(š„āš¦) Solving First expression (š„+š¦)(2š„+š¦) = š„(2š„+š¦)+š¦ (2š„+š¦) = (š Ć šš)+(š Ć š)+(š Ć šš)+(š Ć š) = 2š„^2+š„š¦+2š¦š„+š¦^2 = 2š„^2+š„š¦+2š„š¦+š¦^2 = šš^š+ššš+š^š Solving 2nd expression (š„+2š¦)(š„āš¦) = š„(š„āš¦)+2š¦ (š„āš¦) = (š Ć š)ā(š Ć š)+(šš Ć š)ā(šš Ć š) = š„^2āš„š¦+2š¦š„ā2š¦^2 = š^š+ššāšš^š Now, our expression becomes: (š+š)(šš+š)+(š+šš)(šāš) = 2š„^2+3š„š¦+š¦^2+š„^2+š„š¦ā2š¦^2 = 2š„^2+š„^2+3š„š¦+š„š¦+š¦^2ā2š¦^2 = šš^š+šššāš^š
