Home
Class 9
MATHS
If a+b+c=9 and ab+bc+ca=35, find the val...

If a+b+c=9 and ab+bc+ca=35, find the value of `a^(3)+b^(3)+c^(3)-3abc`.

Text Solution

Verified by Experts

The correct Answer is:
`108`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • NUMBER SYSTEM

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|10 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=6 and ab+bc+ca=11, find the value of a^(3)+b^(3)+c^(3)-3abc.

If a+b+c=9 and ab+bc+ca=26 find the value of a^(3)+b^(3)+c^(3)-3abc

If a+b+c=6 and ab+bc+ca=11 find the value of a^(3)+b^(3)+c^(3)-3abc

(i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac . (ii) If a^(2)+b^(2)+c^(2)=250 " and" ab+bc+ca=3, " find" a+b+c . (iii) If a+b+c=11 and ab+bc+ca=25, then find the value of a^(3)+b^(3)+c^(3)-3 abc.

If a+b+c=6 and ab+bc+ca=10 then the value of a^(3)+b^(3)+c^(3)-3abc is (a) 36 (b) 48( c) 42 (d) 40

If a+b+c=9 and a^2+b^2+c^2=35 , find the value of (a^3+b^3+c^3-3abc) .

If a+b+c=9 and a^(2)+b^(2)+c^(2)=35, find the value of a^(3)+b^(3)+c^(3)-3abc

If a + b + c = 9 and ab + bc + ca = 18, then the value of a^(3)+b^(3)+c^(3) + 3abc is :