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
(More Questions for each concept available in Login)
Question : 1

Which of the following represent the value of large p^3+q^3+r^3,if p=-6,q=4: and: r=2 ?

Right Option : B
View Explanation
Explanation
Question : 2

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

Right Option : D
View Explanation
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
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
Chapters
Content / Category
Class / Course
 
 


Students / Parents Reviews [20]