Let me analyze the position.
FEN: q4b1r/pp1k1ppp/3p4/4p3/4P3/8/PPn2PPP/R1BK3R w - - 0 15
White: Kd1, Ra1, Rh1, Bc1, pawns a2, b2, f2, g2, h2, e4
Black: Kd7, Qa8, Rh8, Bf8, Nc2, pawns a7, b7, d6, e5, f7, g7, h7
The knight on c2 is attacking... Nc2 attacks Ra1? No, from c2 the knight attacks a1, a3, b4, d4, e3, e1. Wait, c2 knight: a1, a3, b4, d4, e3, e1. Yes! Nc2 attacks Ra1.
White to move. Legal moves listed: a3, a4, b3, b4, f3, f4, g3, g4, h3, h4, Rb1, Bd2, Be3, Bf4, Bg5, Bh6, Kxc2, Kd2, Ke2, Rg1, Rf1, Re1.
Kxc2 is legal! The king on d1 can capture the knight on c2. Is it safe? After Kxc2, what attacks c2? Black pieces: Qa8 on a8-d5... no, a8 diagonal: a8-b7-c6-d5-e4. The queen on a8 attacks e4 (diagonal a8-b7-c6-d5-e4). Wait, b7 is a black pawn, so the diagonal is blocked at b7. So Qa8 attacks along the 8th rank: a8-b8... b8 empty, c8, d8, e8, f8 has bishop, so queen attacks b8, c8, d8, e8. And down the a-file: a7 pawn blocks. So queen has very limited mobility.
Bf8 on f8: diagonal f8-e7... e7 empty, d6 own pawn blocks. f8-g7-h6 blocked by g7 pawn. So bishop is passive.
Rh8 on h8: h-file, h7 own pawn blocks. Rank 8: g8, f8 own bishop blocks.
Kd7: d6, c6, e6, c7, e7, d8 squares. c7 — is c7 attacked by white? No. e6? Not attacked.
So after Kxc2, is anything attacking c2? Black's only attackers... the knight is gone. Queen can't reach. Bishop f8 blocked. Rook h8 blocked. King too far. So Kxc2 wins the knight safely!
Material after: White had 19, Black 27. Knight worth 3. After Kxc2: White 19+3 = 22, Black 27-3 = 24. Down 2 (queen vs rook + ... let me count: White: R, R, B = 5+5+3 = 13 + 5 pawns... wait pawns a2, b2, f2, g2, h2, e4 = 6 pawns. 13+6 = 19. Yes. Black: Q(9) + R(5) + B(3) + 7 pawns = 9+5+3+7 = 24? But material says 27. Hmm, 9+5+3 = 17, pawns a7, b7, f7, g7, h7, d6, e5 = 7 pawns = 7. Total 24. But stated 27. Maybe they count differently (1 3 3 5 9 vs standard). Whatever — the point is capturing the knight is clearly good.
Is Kxc2 safe long-term? After Kxc2, Black might play Qa8xa... nothing. Black could try ...Qa7 or ...Qb8 ideas, ...Be7, ...Rh8-e8 etc. White is up the knight for... actually White is down a queen for two rooks and a bishop (13 vs 9+... hmm after capture: White R,R,B = 13; Black Q,R,B = 17, pawns 6 vs 7). So Black up bishop? Let me recount: White: 2 rooks (10) + bishop (3) = 13, 6 pawns = 19. Black: queen (9) + rook (5) + bishop (3) = 17, 7 pawns = 7, total 24. So Black is up 5 points (a queen for a rook, essentially, or rook+bishop vs queen... whatever). White is down material but capturing the knight is clearly the best move — it wins a piece and relieves the pressure.
Any alternative? Rb1 saves the rook but leaves Nc2... then knight might escape or fork. Kxc2 is simply best: win the knight for free.
Check: is Kxc2 truly safe? Any black piece attacking c2? Let me verify queen on a8 again — diagonal to c6, d5, e4 (e4 is White's own pawn, and b7 black pawn blocks anyway). No.
Also check ...d5 or ...e4? After Kxc2, Black might play ...e4?? That's not possible since e4 is occupied by White pawn — ...d5 or ...f5 could open lines but nothing immediate.
One concern: after Kxc2, Black plays ...Qa8-b8 or ...Qa7 pinning ideas? Qa7 attacks... a7-g1 diagonal? a7-b6-c5-d4-e3-f2. f2 is White pawn. So Qa7 hits f2. Not dangerous to the king on c2 directly.
Could Black play ...d5 threatening ...Qb8+/...Qa5+? Qa5+ from a8 requires a-file access: a7 pawn blocks. ...Qb8: b8-c7... no, Qb8 attacks along rank 8 and diagonal b8-h2: c7? No, diagonal from b8 is b8-c7-d6 — d6 is own pawn. So queen is basically stuck.
So Kxc2 is safe and winning a piece.
Also consider Rb1 first? No, Kxc2 immediately wins the knight. The knight on c2 was attacking a1 rook and e1; capturing is clean.
Quip: something cocky like "A free knight? Don't mind if I do — dinner's served." Under 20 words.
Let me make the move.
That knight has been squatting in my house long enough — and nobody's defending it. Time for evict the intruder personally.