if ^{x2+y2=898 and xy=90 then what is the value of}x3+y3=?

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Solution

x²+y²= 898
xy = 90
we know ,
(x+y)² = x²+y²+2xy
(x+y)² = 898+290
(x+y)² = 898+180
(x+y)² = 1078
x+y =
we know ,
x³+y³ = (x+y)(x²+y²-xy)
= ((898-90)
= 8087
= 5656

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