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Rs aggarwal solutions
Grade 9 
Mathematics
Secondary school Mathematics class 9 Rs Aggarwal
Factorization of Polynomials
Factorization of Polynomials Exercise 3F
Question 2
Mathematics
Secondary school Mathematics class 9 Rs Aggarwal
Factorization of Polynomials
Factorization of Polynomials Exercise 3F
Question 2
Factorization of Polynomials | Factorization of Polynomials Exercise 3F
Question 2
CHAPTERS
3. Factorization of Polynomials
4. Linear Equations In Two Variables
6. Introduction To Euclids Geometry
9. Congruence Of Triangles And Inequalities In A Triangle
11. Areas Of Parallelograms And Triangles
14. Areas Of Triangles And Quadrilaterals
15. Volume And Surface Area Of Solids
27𝑎^3 + 64𝑏^3
27𝑎^3 + 64𝑏^3
According to the equation,
𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)
So we get,
27𝑎^3 + 64𝑏^3
= (3𝑎)^3 + (4𝑏)^3
Using the equation,
= (3𝑎 + 4𝑏)((3𝑎)^2 − (3𝑎)(4𝑏) + (4𝑏)^2)
= (3𝑎 + 4𝑏)(9𝑎^2 − 12𝑎𝑏 + 16𝑏^2)
Question 2
27𝑎^3 + 64𝑏^3
27𝑎^3 + 64𝑏^3
According to the equation,
𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)
So we get,
27𝑎^3 + 64𝑏^3
= (3𝑎)^3 + (4𝑏)^3
Using the equation,
= (3𝑎 + 4𝑏)((3𝑎)^2 − (3𝑎)(4𝑏) + (4𝑏)^2)
= (3𝑎 + 4𝑏)(9𝑎^2 − 12𝑎𝑏 + 16𝑏^2)
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