Question

if ab=10, a^2 + b^2 =10. Find a^3+b^3

Answer 1

Hello friend!!!...Here is ur answer

(a+b)^2= a^2+b^2+2ab

=> (a+b)^2= 10+2×10

=> (a+b)^2=30

=> a+b= root30

Now a^3+b^3=(a+b)(a^2-ab+b^2)

=> a^3+b^3= root30 (10-10)

=> a^3+b^3= 0

Hope it will help you

Answer 2

Given , ab = 10
a^2 + b^2 = 10
a + b = 10
_____________
We know that...
a^3 + b^3 = (a+b)( a^2 - ab + b^2)
=> 10 ( 10 -10 )
=> 0
_____________
a^3 + b^3 =0 is the answer.......