Class 9 Exam  >  Class 9 Questions  >  if a+b+c=6 and ab+bc+ca=11, find a cube + b c... Start Learning for Free
if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc
Verified Answer
if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc R...
We know that:
x3+y3+z3-3xyz=(x+y+z) (x2+y2+z2-xy-yz-zx)
let;
x=a, y=b, z=c
a3+b3+c3-3abc=(a+b+c)(a2+b2+c2-ab-bc-ca)
a3+b3+c3-3abc=(6)(a2+b2+c2)-(ab+bc+ca)
a3+b3+c3-3abc=6(a2+b2+c2)-(11)                      (OR)              (OR)
a3+b3+c3-3abc=6(a+b+c)(a+b+c)-11              =6(12)-11       =6+12-11
a3+b3+c3-3abc=6x6x6-11                                 =72-11            =19-11
a3+b3+c3-3abc=216-11                                      =61                 =08
a3+b3+c3-3abc=-205


This question is part of UPSC exam. View all Class 9 courses
Explore Courses for Class 9 exam

Top Courses for Class 9

if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9
Question Description
if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9.
Solutions for if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 defined & explained in the simplest way possible. Besides giving the explanation of if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9, a detailed solution for if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 has been provided alongside types of if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 theory, EduRev gives you an ample number of questions to practice if a+b+c=6 and ab+bc+ca=11, find a cube + b cube + c cube minus 3abc Related: Long Answers - Polynomials, Mathematics, Class 9 tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev