∵(a+b)²+(a-b)²=(a²+b²+2ab)+(a²+b²-2ab)=2a²+2b²=30
∴a²+b²=15
∵(a+b)²-(a-b)²=(a²+b²+2ab)-(a²+b²-2ab)=a²+b²+2ab-a²-b²+2ab=4ab=4
∴ab=1
∵(a+b)²+(a-b)²=(a²+b²+2ab)+(a²+b²-2ab)=2a²+2b²=30
∴a²+b²=15
∵(a+b)²-(a-b)²=(a²+b²+2ab)-(a²+b²-2ab)=a²+b²+2ab-a²-b²+2ab=4ab=4
∴ab=1