Question

Find x^3-y^3,if x-y=10andxy=16​

Answer 1

Answer:

given,

x-y=10 and xy=16

have to find,

${x}^{3} - {y}^{3}$

we know,

${x}^{3} - {y}^{3} = {(x - y)}^{3} + 3xy(x - y)$

${x}^{3} - {y}^{3} = {10}^{3} + 3.16.10$

${x}^{3} - {y}^{3} = 480000$