Find the value of x cube - y cube -15xy - 100if x -y is equal to 5
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★Given:-
x - y=5
★To find:-
The value of
x³ - y³ - 15xy - 100
★Solution:-
We know that,
(x-y)³ = x³ - y³ - 3xy(x-y)
Using this identity,
(5)³ = x³ - y³ - 3xy(5)
125 = x³ - y³ - 15xy
So x³ - y³ -15xy = 125
Substituting the value of x³ - y³ -15xy in the equation,
→x³ - y³ -15xy -100
→125 - 100
→25
So the value of x³ - y³ -15xy - 100 is 25
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