If x= 5−x 1 and x =5, find : x 3 + x 3 1 .
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Formula to be used : (a+b)
3
=a 3 +b 3 +3ab(a+b)x+ x1 =5
Cubing on both sides:
→(x+ x1 ) 3 =5 3
→x 3 + x 3 1 +3⋅x⋅ x1
⋅(x+ x1 )=125
→x 3+ x 31 +15=125
→x 3+ x 3 1 =125−15=110
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