Question

si se cumple: x+y=6, xy=7
hallar:x3+y3(al cubo)​

Answer 1

Explicación paso a paso:

x + y = 6

xy = 7

(x+y)² = 6²

x² + 2xy + y² = 36

x² + y² + 14 = 36

x² + y² = 22

Piden:

x³ + y³ = (x+y)(x²-xy+y²)

(6)(22-7) = (6)(15) = 90

x³ + y³ = 90