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

The value of large dpi{120} fn_phv (55)^3-(75)^3+(20)^3  is:

 

Right Option : B
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Question : 2

(3x-5y)^3-(5x-2y)^3+(2x+3y)^3

Right Option : D
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Question : 3

what is the value of large p^3+q^3+r^3-3pqr,: if: p=5,q=6: and: r=-11 ?

Right Option : D
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