Question

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

Answer 1

x^3 + y^3 = 756

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`

Answer 2

Explanation:

use formula

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

=12^3-3*27(12)

=1728-972

=756