if x+y=12 and xy=32 find the value of x^3+y^3
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Step-by-step explanation:
x+y=12
x=12-y
xy=32
(12-y)y=32
12y-y^2=32
-y^2+12y-32=0
-(-y^2+12y-32=0
y^2-12y+32=0
when y=9, x=3
x^3+y^3= (3)^3 + (9)^3
= 27+729
= 756
when y=3, x=9
x^3+y^3= (9)^3 + (3)^3
= 729+27
= 756
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