SOLUTION: If a+b=9 and a^3+b^3=351, find the numerical value of ab
Algebra
->
Polynomials-and-rational-expressions
-> SOLUTION: If a+b=9 and a^3+b^3=351, find the numerical value of ab
Log On
Algebra: Polynomials, rational expressions and equations
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Polynomials-and-rational-expressions
Question 344685
:
If a+b=9 and a^3+b^3=351, find the numerical value of ab
Answer by
Jk22(389)
(
Show Source
):
You can
put this solution on YOUR website!
(a+b)^3=a^3+3a^2b+3ab^2+b^3=351+3ab(a+b)=351+3ab*9=9^3=81*9=729
hence 27ab=729-351=378
ab=126/9=42/3=14