1.
原式 = a^3 + 2a^2 * b + 2a* b^2 + 4b^3 - 8
= a^2(a+2b) + 2b^2(a+2b) - 8
= 0 + 0 - 8
= -8
2.
原式=m^3 + m^2 + m^2 + 5
= m(m^2 + m) + m^2 + 5
= m * 1 + m^2 + 5
= m^2 + m + 5
= 1 + 5
= 6
3.
在原式上乘以(2-1)得：
(2-1)(2+1)(4+1)(16+1)(256+1)
=(4-1)(4+1)(16+1)(256+1)
=(16-1)(16+1)(256+1)
=(256-1)(256+1)
=256*256 - 1
=65535
4.
原式=
(100-99)(100+99) + (98-97)*(98+97) + ...+ (52-51)(52+51)
= 1* 199 + 1* 195 + ...+ 1 * 103
= 199 + 195 + 191 + ...+ 111 + 107 + 103
= (199+103) + (195+107) + ...+ (155+147) + 151
= 12 * 302 + 151
= 13 * 151
= 1963