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Algebraic Identity - Difference of Cubes

Polynomials III - Concepts

Factorization of Cubic Polynomial

Algebraic Identity - Sum of Cubes

Algebraic Identity - Difference of Cubes

Algebraic Identity -Cube of Sum of Binomial

Algebraic Identity -Cube of Difference of Binomial

Algebraic Identity- Conditional

Factorisation Using Square Identities

Factorisation Using Cubic Identities

Class - 9th IMO Subjects

Concept Explanation

Algebraic Identity - Difference of Cubes

lgebriac Identity- Difference of Cubes:

$large dpi{100} large a^3- b^3=(a-b)(a^2+ab+b^2)$

To Prove this identity we simplify the right hand side as

$large a^3-b^3=(a-b)(a^2+ab+b^2)$

$large a^3-b^3=a ;X; (a^2+ab+b^2);-;b;X;(a^2+ab+b^2)$

$large a^3-b^3= a^3+a^2b+ab^2-a^2b-ab^2-b^3$

$large a^3-b^3== a^3-b^3$

For Example: Factorize $large (2a)^3-(3b)^3$

$large (2a)^3-(3b)^3= (2a-3b)((2a)^2+2a X 3b +(3b)^2)$

$large = (2a-3b)(4a^2- 6ab + 9b^2)$

Sample Questions

(More Questions for each concept available in Login)

Question : 1

The factors of $1-p^{3}$ are _________________
A. $(1-p)(1+p+p^{2})$	B. $(1+p)(1-p-p^{2})$	C. $(1+p)(1+p^{2})$	D. $(1+p)(1-p^{2})$
Right Option : A
View Explanation

Question : 2

The value of $frac {(2.3)^3-0.027}{(2.3)^2+0.69+0.09}is$
A. 2	B. 3	C. 2.327	D. 2.273
Right Option : A
View Explanation

Question : 3

If a + b + c = 0 then :
A. $large a^3+b^3+c^3=3abc$	B. $large a^3+b^3-c^3=3abc$	C. $large a^3+b^3+c^3=-3abc$	D. $large a^3+b^3+c^3=3(a+b+c)$
Right Option : A
View Explanation

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Language - English

Chapters

Polynomials II

Direct and Inverse Variation

Linear Equations in One Variable

Introduction to Trigonometry

Introduction to Euclids Geometry

Herons Formula Complete

Polynomial I

Surface Area and Volume II

Surface Area and Volume I

Coordinate Geometry

Constructions

Areas Of Parallelograms And Triangles II

Areas Of Parallelograms And Triangles I

Linear Equations in Two Variables

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Algebraic Identity - Difference of Cubes

Algebraic Identity - Difference of Cubes

Students / Parents Reviews [10]

Aman Kumar Shrivastava

Cheshta

Eshan Arora

Archit Segal

Manish Kumar

Shivam Rana

Shreya Shrivastava

Hiya Gupta

Ayan Ghosh

Yatharthi Sharma