Ex 8.4, 3 (ii) - Chapter 8 Class 8 Algebraic Expressions and Identities
Last updated at April 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. (ii) (𝑎^2+5) (𝑏^3+3)+5Here, there are 2 expressions: 1st expression = (𝑎^2+5) (𝑏^3+3) 2nd expression = 5 Solving 1st expression (𝒂^𝟐+𝟓) (𝒃^𝟑+𝟑) = 𝑎^2 (𝑏^3+3)+5(𝑏^3+3) = (𝑎^2×𝑏^3 )+(𝑎^2×3)+(5×𝑏^3 )+(5×3) = 𝒂^𝟐 𝒃^𝟑+𝟑𝒂^𝟐+𝟓𝒃^𝟑+𝟏𝟓 Now, our expression is (𝒂^𝟐+𝟓) (𝒃^𝟑+𝟑)+𝟓 = 𝑎^2 𝑏^3+3𝑎^2+5𝑏^3+15+5 = 𝒂^𝟐 𝒃^𝟑+𝟑𝒂^𝟐+𝟓𝒃^𝟑+𝟐𝟎
