Algebraic Identity -Cube of Difference of Binomial


 
 
Concept Explanation
 

Algebraic Identity -Cube of Difference of Binomial

Algebriac Identity- Cube of Difference of Binomial:

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

                                or

large (a-b)^3=a^3-3ab(a-b)-b^3

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

large (2a-b)^3= (2a)^3-(b)^3-3(2a)(b)(2a-b)

                       large = 8a^3-b^3- 6ab(2a-b)

                      large = 8a^3-b^3- 12a^2b+6ab^2

Sample Questions
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Question : 1

Expansion of large (x-y)^3 is

Right Option : A
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Question : 2

A factor of large x^3-1 is :

 

Right Option : C
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Question : 3

Which of following expressions is the expanded from of large left ( 5x-3y right )^3?

Right Option : D
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Explanation
 
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