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Question 1 (i) - Algebra Identities - Identity III - Chapter 8 Class 8 Algebraic Expressions and Identities
Last updated at May 29, 2023 by Teachoo
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
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Algebra Identities - Identity III
- Algebra Identities - Identity IV
Transcript
Example 13 Using Identity (III), find (i) (3/2 𝑚+2/3 𝑛)(3/2 𝑚−2/3 𝑛) (3/2 𝑚+2/3 𝑛)(3/2 𝑚−2/3 𝑛) (𝑎+𝑏)(𝑎−𝑏)=𝑎^2−𝑏^2 Putting 𝑎 = 3/2 𝑚 & 𝑏 = 2/3 𝑛 = (3/2 𝑚)^2−(2/3 𝑛)^2 = (3/2)^2×𝑚^2−(2/3)^2×𝑛^2 = 𝟗/𝟒 𝒎^𝟐−𝟒/𝟗 𝒏^𝟐
