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

Find the product of (l^2+lp+p^2)(l-p)

Right Option : B
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Explanation
Question : 2

If  (x+y)^3-(x-y)^3-6y(x^2-y^2)=ky^2,: : then : : k=

Right Option : D
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Explanation
Question : 3

Simplify: (x + 5y)3 + (x – 5y)3

Right Option : A
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Explanation
 
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