Question

if x+y = -4 xy=2 then find the value of x3+y3​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Value of x³ + y³ is -40.

Given - Value of x+y and xy

Find - Value of x³ + y³

Solution - As we know, x³ + y³ = (x+y)(x² - xy + y²).

Now, taking equation x+y and squaring it.

(x+y)² = (-4)²

x² + y² + 2xy = 16

Keep the value of xy

x² + y² + 2*2 = 16

x² + y² = 16 - 4

x² + y² = 12

Keep the value of x² + y² in first equation.

x³ + y³ = (-4)(x² + y² - xy)

x³ + y³ = (-4)(12 - 2)

x³ + y³ = -4*10

x³ + y³ = -40

Hence, the value of x³ + y³ is -40.

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