Question

if x+y=10,x^3+y^3 =30 then x^2-xy+y^2=

pls answer my question
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Answer 1

Answer:

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