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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 18
Mathematics
Secondary school Mathematics class 9 Rs Aggarwal
Factorization of Polynomials
Factorization of Polynomials Exercise 3F
Question 18
Factorization of Polynomials | Factorization of Polynomials Exercise 3F
Question 18
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
𝑥^4𝑦^4 − 𝑥𝑦
𝑥^4𝑦^4 − 𝑥𝑦
We can write the given question as,
𝑥^4𝑦^4 − 𝑥𝑦 = 𝑥𝑦(𝑥^3𝑦^3 − 1)
According to the equation,
𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)
So we get,
𝑥𝑦(𝑥^3𝑦^3 − 1)
= 𝑥𝑦((𝑥𝑦)^3 − 1^3)
Using the equation,
= 𝑥𝑦[(𝑥𝑦 − 1)((𝑥𝑦)^2 + (𝑥𝑦)(1) + (1)^2)]
= 𝑥𝑦(𝑥𝑦 − 1)(𝑥^2𝑦^2 + 𝑥𝑦 + 1)]
Question 18
𝑥^4𝑦^4 − 𝑥𝑦
𝑥^4𝑦^4 − 𝑥𝑦
We can write the given question as,
𝑥^4𝑦^4 − 𝑥𝑦 = 𝑥𝑦(𝑥^3𝑦^3 − 1)
According to the equation,
𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)
So we get,
𝑥𝑦(𝑥^3𝑦^3 − 1)
= 𝑥𝑦((𝑥𝑦)^3 − 1^3)
Using the equation,
= 𝑥𝑦[(𝑥𝑦 − 1)((𝑥𝑦)^2 + (𝑥𝑦)(1) + (1)^2)]
= 𝑥𝑦(𝑥𝑦 − 1)(𝑥^2𝑦^2 + 𝑥𝑦 + 1)]
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