Question

if x+y=12 and xy=27 . find x^3+y^3
pls help with steps ​

Answer 1

Answer:

Step-by-step explanation:

use formula

x^3+y^3=(x+y)^3-3*x*y(x+y)

=12^3-3*27(12)

=1728-972

=756

Answer 2

Answer:

x^3 + y^3 = 756

Step-by-step explanation:

Given that,  x+y=12 and xy=27

We know that,

$( x + y )^3 = x^3 + y^3 + 3xy(x + y)$

∴ $12^3 = x^3 + y^3 + 3 * 27 * 12$

$=> 1728 = x^3 + y^3 + 972$

$x^3 + y^3 = 1728 - 972$

$==> x^3 + y^3 = 756$