Given: x2+y2=49....(i), x-y = 3.....(ii)
(x-y)2 = 9
x2+y2 -2xy = 9
From equation (i)
2xy = 49-9 = 40
xy = 20
Now
x3 - y3 = ( x-y ) (x2+y2 + xy)
= 3 ( 49 + 20 )
= 3x69
= 207
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