Find the value of $x^{3} + y^{3} - 12 x y + 64$ , when $x + y = - 4$ .

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Solution

$x^{3} + y^{3} + 3 x y (x + y) + 64 = (- 4)^{3} + 64 = 0$

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x^{3} + y^{3} - 12 x y + 64

x + y = 4

x^{3} + y^{3} - 12 x y + 64 w h e n x + y = - 4

Question 39
Find the value of:
(i) $x^{3} + y^{3} - 12 x y + 64$ , when x + y = - 4

(ii) $x^{3} - 8 y^{3} - 36 x y - 216$ , when x = 2y + 6

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