Question

si x-y= 4 ademas xy= 3 halla x³+y³

ayudaaaaaaaa​

Answer 1

Explicación paso a paso:

a³ + b³ = (a+b)(a²-ab+b²)

(m+n)² = m²+ n² + 2mn

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x³ + y³ = (x + y)(x²-xy+y²)

x³ + y³ = (5)(x²+y²-3)

`Para hallar x²+y²

(x+y)² = x² + y² + 2xy

5² = x² + y² + 2(3)

25 = x² + y² + 6

25-6 = x² + y²

19 = x² + y²

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x³ + y³ = (5)(x²+y²-3)

x³ + y³ = (5)(19-3)

x³ + y³ = 5(16)

x³ + y³ = 80

Answer 2

Respuesta:

Sale 100

Explicación paso a paso:

x-y=y

xy=3

(x-y)³= x³-y³-3xy(x-y)

(4³)=x³-y³-3.3.4

64=x³-y³-36

x³-y³=64+36

x³-y³=100