Ex 8.4, 3 (i) - 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
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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. (i) (𝑥^2−5) (𝑥+5)+25Here, there are 2 expressions: 1st expression = (𝑥^2−5) (𝑥+5) 2nd expression = 25 Solving 1st expression (𝒙^𝟐−𝟓) (𝒙+𝟓) = 𝑥^2 (𝑥+5)−5(𝑥+5) = (𝑥^2 × 𝑥)+(𝑥^2 × 5)−(−5 × 𝑥)−(5 × 5) = 𝒙^𝟑+𝟓𝒙^𝟐−𝟓𝒙−𝟐𝟓 Now, our expression is (𝒙^𝟐−𝟓) (𝒙+𝟓)+𝟐𝟓 = 𝑥^3+5𝑥^2−5𝑥−25+25 = 𝒙^𝟑+𝟓𝒙^𝟐−𝟓𝒙
