x-y=3 then value of x^3-y^3-9xy
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Step-by-step explanation:
x³-y³ = (x-y)*(x²+xy+y²)
x - y = 3, then (x-y)² = 9, thus x²-2xy+y² = 9.
x²+xy+y² = x²-2xy+y² + 3xy, so, x²+xy+y² = 9 + 3xy.
Back to our question: we have now the value of x-y and x²+xy+y².
(x-y)*(x²+xy+y²) - 9xy = 3 * (9 + 3xy) - 9xy = 27 + 9xy - 9xy = 27.
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Answer:
27
Step-by-step explanation:
i hope this is useful for you
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