已知p²—pq=1,4pq—3q²=2,求p²+3pq—3q²的值

已知p²—pq=1,4pq—3q²=2,求p²+3pq—3q²的值
已知p²—pq=1,4pq—3q²=2,求p²+3pq—3q²的值

已知p²—pq=1,4pq—3q²=2,求p²+3pq—3q²的值
∵p²—pq=1,①
4pq—3q²=2,②
p²+3pq—3q²=（p²-pq)+(4pq-3q²)=1+2=3

p²+3pq—3q²=（p²-pq)+(4pq—3q²)=1+2=3