plz explain step by step.
If x+y = 8 and xy = 6, then x³+y³ =
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(x+y)³=x³+y³+3xy(x+y)
8³=x³+y³+3×6×8
x³+y³=512-144
x³+y³=368
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Answer:
x³+y³ = (x-y) (x+y) (x-y)
= (x-y) ×8× (x-y)
= (x-y)² × 8
= x²-2xy+y² × 8
= x²+y²-2×6×8
= x²+y²-96
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