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Algebraic Identity - Difference of Cubes

Algebraic Identities - Concepts

Algebraic Identity - Square of Sum of Binomial

Algebraic Identity - Square of difference of Binomial

Algebraic Identity - Dfference of Square

Algebraic Identity -3

Algebraic Identity - Square of Trinomial

Algebraic Identity - Difference of Cubes

Algebraic Identity - Sum 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 - IBPS Clerk Prelims 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

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

Question : 2

Which of the following expressions is the expansion of $large a^3- b^3$ ?
A. $large dpi{120}(a-b)(a^2+ab+b^2)$	B. $large dpi{120}(a+b)(a^2-ab+b^2)$	C. $(a+b)(a^2-2ab-b^2)}$	D. $dpi{120}(a+b)^2(a-b)$
Right Option : A
View Explanation

Question : 3

Which of the following expression is the expansion of $large dpi{120} a^3-b^3$ ?
A. $large dpi{120}(a-b)(a^2+ab+b^2)$	B. $large dpi{120}(a-b)(a^2+ab^2+b^2)$	C. $large dpi{120}(a-b)(a^2+ab+b)$	D. None of the above
Right Option : A
View Explanation

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Attention !!!!!

Algebraic Identity - Difference of Cubes

Algebraic Identity - Difference of Cubes

Students / Parents Reviews [10]

Shreya Shrivastava

Cheshta

Om Umang

Archit Segal

Shivam Rana

Ayan Ghosh

Hiya Gupta

Eshan Arora

Manish Kumar

Yatharthi Sharma