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Question -

Find the value of x3 + y3 – 12xy + 64, when x + y = -4



Answer -

x3 + y– 12xy + 64
x + y = -4
Cubing both sides,
x3 + y3 + 3 xy(x + y) = -64
Substitute the value of (x + y)
x2 +y2 + 3xy x (-4) = -64
 x3 + y2 – 12xy + 64 = 0

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