Question

if X + Y = 12 and xy = 27 find the value of x cube + y cube​

Answer 1

Given (x + y) = 12 and

xy = 27

Recall, x3 + y3 = (x + y)3 – 3xy(x + y) ⇒ x3 + y3 = (12)3 – 3(27)(12)= 1728 – 972 ∴ x3 + y3 = 756

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Answer 2

Answer:

x3+y3=756

Step-by-step explanation:

Hey mate

Given :- x+y=12. -----(1)

xy=27. -------(2)

To Find :- x3+y3

Solution x3+y3=(x+y)(x2+y2-xy). --(3)

First of all we have to find the value of x2+y2

so

(x+y)=12

square at both side

(x+y)2=(12)2

x2+y2+2xy=144

x2+y2 +2*27 = 144

x2+y2 + 54=144

x2+y2=90. ------(4)

Now put 1&2&4 in 3

x3+y3 = (12)(90-27)

x3+y3 = 12*63

x3+y3=756

Hope this will help u

And plzz

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