If x+y=8andxy=6,thenx3+y3=?
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Step-by-step explanation:
We need just the formula
x^3+y^3 = (x+y)(x^2+y^2-xy)
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Given:-
•x+y=8
•xy=6
To find:-
•Value of x³+y³
Solution:-
By cubing both the sides in the equation,x+y=8,we get--
=>(x+y)³=(8)³
We know that (a+b)³=a³+b³+3ab(a+b)
=>x³+y³+3xy(x+y)=512
=>x³+y³+3×6(8)=512
=>x³+y³+144=512
=>x³+y³=512-144
=>x³+y³=368
Thus,value of x³+y³ is 368.
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