Question

X3-Y3=28, X-Y=2, X2+XY+Y2=

it is = 14 but how? ​

Answer 1

Explanation:

x³ - y³ = (x - y)³ + 3x²y - 3xy²

28 = (2)³ + 3xy(x - y)

28 = 8 + 3xy(2)

28 - 8 = 6xy

20 = 6xy → xy = 20/6 = 10/3

(x - y)² = 2²

x² - 2xy + y² = 4

x² - 2(10/3) + y² = 4

x² + y² = 4 + 20/3 = 32/3

x² + xy + y² = 32/3 + 10/3 = 42/3 = 14