Question

if X + Y is equal to 12 and X Y is equal to 27 find the value of x cube + y cube​

Answer 1

Answer:

hlo dear

Step-by-step explanation:

given that x+y=12 but xy=27 therefore x=3 and y=9.....now x^3+y^3=3^3+9^3=3×3×3+9×9×9 =27+72=99 hop it helps

Answer 2

Step-by-step explanation:

Given:-

x+Y= 12

XY= 27

We have to find out:-

X^3 + Y^3 =???

Solve:-

(X+Y)^2 = (12)^2 = 144

➡️ (X^2 + y^2 + 2XY) = 144

➡️ (X^2 +Y^2 + 2* 54 ) = 144

➡️(X^2+ Y^2) = 36.......(1 no.)

X^3 + Y^3

= (X+Y)( X^2- XY+ Y^2)

=12× ( 36- 27) [ from (1no) equation]

= 12× 9

= 144 ☢️

[Ans]

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