`x+y=3`
`<=>(x+y)^3=9`
`<=>x^2+2xy+y^2=9`
`<=>2xy+5=9`
`<=>2xy=4`
`<=>xy=2`
`<=>x^2-xy+y^2=3`
`=>M=(x+y)(x^2-xy+y^2)`
`=3.3`
`=9`
x+y=3
⇔(x+y)2=9
⇔x2+2xy+y2=9
⇔2xy+5=9(Vì x2+y2=5)
⇔2xy=4
⇔xy=2
Có : x2+y2=5
\(\Rightarrow\)x2+y2-xy =3
Có M=x3+y3
\(\Rightarrow\)M=(x+y)(x2−xy+y2)
\(\Rightarrow\)M=3.3
\(\Rightarrow\)M=9