Algebraic Identity- Conditional


 
 
Concept Explanation
 

Algebraic Identity- Conditional

Algebriac Identity Reducible to Conditional:

large a^3+b^3+c^3- 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca)

Algebriac Identity- Conditional

If a+b+ c= 0 then

large a^3+b^3+c^3= 3abc

For Example: Find large dpi{100} large 15^3-10^3-5^3

large 15^3+-10^3-5^3= 3 X 15 X 10X 5=2250

because 15-10-5 = 0 hence the identity can be applied

Sample Questions
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Question : 1

One of the factors of a^{3}(b-c)^{3}+b^{3}(c-a)^{3}+c^{3}(a-b)^{3} is :

Right Option : D
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Explanation
Question : 2

What is the value of the expression large a^3+b^3+c^3, if a=2,b=-5 and c=3 ?

Right Option : D
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Explanation
Question : 3

large dpi{120}frac{a^3+b^3+c^3-3abc}{a^2+b^2+c^2-ab-bc-ca} =___________________

Right Option : B
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Explanation
 
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