Question

if x+y=12and xy=27 find the value of x3+y3

Answer 1

Answer: 1404

Step-by-step explanation:

(x+y)^2 = x^2 + y ^2 + 2(xy)

12^2 = x^2 + y^2 + 2(27)

144 = x^2 +y^2 + 54

144-54 = x^2 + y^2

90 = x^2 + y^2 _ _ _ _ _ _ eq.1

Now,

x^3+y^3 = (x+y)(x^2 + y^2 + xy)

= (12)(90 + 27 ) Substituting eq.1

= 12×117

x^3+y^3 = 1404

Hence , the required answer is 1404

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