cidow86282 cidow86282

27-10-2020
Mathematics

contestada

If x + y = 12 and xy = 27, find the value of x^3+y^3

Respuesta :

jimrgrant1 jimrgrant1

27-10-2020

Answer:

756

Step-by-step explanation:

Using the algebraic identity

a³ + b³ = (a + b)³ - 3ab(a + b)

Thus

x³ + y³ = (x + y)³ - 3xy(x + y) ← substitute given values

= 12³ - 3(27)(12)

= 1728 - 972

= 756

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