Home
Class 9
MATHS
In the formula, a^3+b^3+c^3-3 abc = (a...

In the formula,
`a^3+b^3+c^3-3 abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca)`
if `a + b + c = 0`, then show that
`a^3 + b^3 + c ^3 = 3 abc`

Answer

Step by step text solution for In the formula, a^3+b^3+c^3-3 abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) if a + b + c = 0, then show that a^3 + b^3 + c ^3 = 3 abc by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HARDER PRODUCT AND FACTORISATION

    KALYANI PUBLICATION|Exercise EXERCISE|148 Videos
  • GEOMETRY

    KALYANI PUBLICATION|Exercise EXERCISE|10 Videos
  • INEQUALITIES AND INEQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|126 Videos

Similar Questions

Explore conceptually related problems

In the formula, a^3+b^3+c^3-3 abc = 1/2 (a+b+c){(a-b)^2+(b-c)^2+(c-a)^2} , if a + b + c != 0 , Show that if a^3 +b^3+c^3= 3abc impliesa=b=c

If a = 37, b = 36, c = 38 , then prove that a^3+b^3+c^3-3abc=333

If a + 2b = 4c , then prove that a^3+8b^3-64c^3+24abc=0

Find the division of (a^3+b^3-c^3+3abc) -: (a+b-c)

If 2s = a + b + c , then prove that (s-a)^3+(s-b)^3+(s-c)^3+3 abc = s^3

If a = x+y, b=x-y and c = x+2y , then show that a^3+b^3+c^3-3abc =7y^2(3x+2y)

If b+c=10, c+a =16, a+b=20 , then prove that a^3+b^3+c^3=2567

If a^2 + b^2 + c^2 -ab-bc-ca = 0 , then prove that a=b=c

If a = x+y , b = y+z , and c = z+x then show that a^3+b^3+c^3-3abc =2(x^3+y^3+z^3-3xyz)

If a+b+c=0 , then prove that a^4+b^4+c^4=2(ab+bc+ca)^2