Question

упростить
Р-(Q-2PQ-(P-Q))
ПРИ Р = A+B
ПРИ Q = A-B
CПС

Answer 1

Р-(Q-2PQ-(P-Q))=
P-(Q-2PQ-P+Q)=
P-(2Q-2PQ-P)=
P-2Q+2PQ+P=
2P-2Q+2PQ=
2(P-Q+PQ)=
2(A+B-A+B+(A+B)(A-B))=
2(2B+A²-B²)=2A²-2B²+4B=
2A²-2(B-1)²+2