Question

d) If x + y = 7 and xy = 10, find the value of x3 + y3​

Answer 1

Step-by-step explanation:

given:-

X+y=7

XY=10

to find:-x^3+y^3=?

solution:-

${x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} ) \\ = 7( {x}^{2} + {y}^{2} - 10) \\ = 7 {x}^{2} + 7 {y}^{2} - 70 \\ = 7( {x + y})^{2} - 70 \\ = 7( {7})^{2} - 70 \\ = 7(49) - 70 \\ = 343 - 70 \\ = 273 \\ mark \: my \: answer \: brainliest$