Question

if x+y = 12 ,xy=27 prove that
${x}^{3} + {y}^{3} = 756$
​

Answer 1

Answer:

GIVEN :-

X + Y = 12 , XY = 27

TO PROVE -

X³ + Y³ = 756

=》 WE KNOW THAT -

=》( X + Y )³ = X³ +Y³ + 3(XY)(X + Y)

PUT GIVEN VALUE IN FORMULA -

=》(12)³ = x³ + Y³ + 3(27)(12)

=》1728 = X³ + Y³ + 972

=》X³ + Y³ = 1728 - 972

=》X³ + Y³ = 756 [ H.P.]

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