Question

if x³+y³=370 and x-y= 23 , then find x²- y²​

Answer 1

Step-by-step explanation:

Given that, x+y=12 and xy=27

We know,

(x+y)

3

=x

3

+y

3

+3xy(x+y)

Therefore,

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

THANK YOU!