raise the difference of b and c to the 10th power

Question

The difference of b and c to the power of 10

Answer 1

(b-c)¹⁰

=

add these terms

+b¹⁰+c¹⁰

-10[b⁹c+bc⁹]

+(10!/((2!)(8!))[b⁸c²+b²c⁸]

-(10!/((3!)(7!))[b⁷c³+b³c⁷]

+(10!/((4!)(6!))[b⁶c⁴+b⁴c⁶]

-(10!/((5!)(5!))[b⁵c⁵+b⁵c⁵]