How can i make f(a,b,c) = \$A \cdot B \cdot \overline C + A \cdot \overline B\cdot C\$ using only XORs and NANDs?
A.B.C' + A.B'C = A.(B.C' + B'C)=A.(B.C' + B'C)={[A.(B.C' + B'C)]'}'

B.C' + B'C --> This is the XOR,

[A.(B.C' + B'C)]' --> This is the NAND gate,

{[A.(B.C' + B'C)]'}' --> This is the output of NAND gate negated by a NOR implemented in NAND-2.