Question

find x3+y3 if x+y=1 and xy=2​

Answer 1

Answer:

${x}^{3} + {y}^{3} = - 5.$

Step-by-step explanation:

${x}^{3} + {y}^{3} = (x + y)( {x}^{2} + {y}^{2} - xy) \\ \\ = (1)( {(x + y)}^{2} - 3xy) \\ \\ = ( {1}^{2} - 3(2)) \\ \\ = (1 - 6) \\ \\ = - 5.$