Problem: What is the smallest integer larger than (3​+2​)6?
Answer Choices:
A. 972
B. 971
C. 970
D. 969
E. 968
Solution:
Since a6+b6=(a2+b2)(a4−a2b2+b4) and 3​−2​<1,
(3​+2​)6+(3​−2​)6=(10)(97)=970
and 970 is the smallest integer larger than (3​+2​)6.