Question

if x+y= 12 and xy=27,find the value of x^3+y^3 ​

Answer 1

Answer:

756

Step-by-step explanation:

x+y=12 and xy=27

We know,  

(x+y) 3  = x  3  +y  3  +3xy(x+y)

12^3  = x^ 3  +y^ 3  +3×27×12

1728= x^3  + y^ 3  + 972

 x^3  +y^3 =1728−972=756  

∴x^3  +y^ 3  =756