Advertisement Remove all ads

If a + B + C = 0, Then Write the Value of A3 + B3 + C3. - Mathematics

Answer in Brief

If a + b + c = 0, then write the value of a3 + b3 + c3.

Advertisement Remove all ads

Solution

Recall the formula

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

When (a + b + c) = 0, we have

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

` = 0`

`a^3 +b^3 +c^3 - 3abc - 0`

`⇒ a^3 +b^3 +c^3 3abc`

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Q 1 | Page 24
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×