83 3 4 2 According to the equation 3 3 2 2 So we get 83 3 4 2 23 3 22 2 22 2 2 22 On further simplification 2 42 2 2 22 2 42 2 2 2

RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3F in Chapter 3 - Factorization of Polynomials

Question 24 Factorization of Polynomials Exercise 3F

8𝑎^3 − 𝑏^3 − 4𝑎𝑥 + 2𝑏𝑥

Answer:

8𝑎^3 − 𝑏^3 − 4𝑎𝑥 + 2𝑏𝑥

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

8𝑎^3 − 𝑏^3 − 4𝑎𝑥 + 2𝑏𝑥

= (2𝑎)^3 − 𝑏^3 − 2𝑥(2𝑎 − 𝑏)

= (2𝑎 − 𝑏)((2𝑎)^2 + (2𝑎)𝑏 + 𝑏^2) − 2𝑥(2𝑎 − 𝑏)

On further simplification

= (2𝑎 − 𝑏)(4𝑎^2 + 2𝑎𝑏 + 𝑏^2) − 2𝑥(2𝑎 − 𝑏)

= (2𝑎 − 𝑏)(4𝑎^2 + 2𝑎𝑏 + 𝑏^2 − 2𝑥)

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Exercises

Factorization of Polynomials Exercise 3A

Factorization of Polynomials Exercise 3B

Factorization of Polynomials Exercise 3C

Factorization of Polynomials Exercise 3D

Factorization of Polynomials Exercise 3E

Factorization of Polynomials Exercise 3F

Factorization of Polynomials Exercise 3G

Chapters

Number Systems

Polynomials

Factorization of Polynomials

Linear Equations In Two Variables

Coordinate Geometry

Introduction To Euclids Geometry

Lines And Angles

Triangles

Quadrilaterals

Areas Of Parallelograms And Triangles

Circles

Geometrical Constructions

Areas Of Triangles And Quadrilaterals

Volume And Surface Area Of Solids

Mean Median And Mode Of Ungrouped Data

Probability