Ex 8.4, 1 (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, 1 Multiply the binomials. (vi) (3/4 𝑎^2+3𝑏^2 ) and 4(𝑎^2−2/3 𝑏^2 ) (3/4 𝑎^2+3𝑏^2 )×4(𝑎^2−2/3 𝑏^2 ) = (3/4 𝑎^2+3𝑏^2 )×[(4×𝑎^2 )−(4×2/3 𝑏^2 )] = (3/4 𝑎^2+3𝑏^2 )×(4𝑎^2−8/3 𝑏^2 ) = 3/4 𝑎^2 (4𝑎^2−8/3 𝑏^2 )+3𝑏^2 (4𝑎^2−8/3 𝑏^2 ) = (𝟑/𝟒 𝒂^𝟐 × 𝟒𝒂^𝟐 )−(𝟑/𝟒 𝒂^𝟐×𝟖/𝟑 𝒃^𝟐 )+(𝟑𝒃^𝟐×𝟒𝒂^𝟐 )−(𝟑𝒃^𝟐×𝟖/𝟑 𝒃^𝟐 ) = 3𝑎^4−2𝑎^2 𝑏^2+12𝑏^2 𝑎^2−8𝑏^4
