X + y is equal to 12 x into y is equal to 27 find the value of x cube + y cube
Answers
Answered by
1
As we know,
x + y = 12
x * y = 27
so, in first equation by cubing both sides
(x + y )^3=(12)^3
x^3+y^3+3xy(x+y)=1728
by putting the value
x^3+y^3+3(27)(12)=1728
x^3+y^3+972=1728
by transpoting the 972 on right side
x^3+y^3=1728-972
x^3+y^3=756
x + y = 12
x * y = 27
so, in first equation by cubing both sides
(x + y )^3=(12)^3
x^3+y^3+3xy(x+y)=1728
by putting the value
x^3+y^3+3(27)(12)=1728
x^3+y^3+972=1728
by transpoting the 972 on right side
x^3+y^3=1728-972
x^3+y^3=756
Similar questions