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

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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!