问题
填空题
如(3a+3b+1)(3a+3b-1)=80,则a+b=______.
答案
∵(3a+3b+1)(3a+3b-1)=80,
∴(3a+3b)2-1=80,
∴(3a+3b)2=81,
∴3a+3b=±9,
∴a+b=±3.
故答案为:±3.
如(3a+3b+1)(3a+3b-1)=80,则a+b=______.
∵(3a+3b+1)(3a+3b-1)=80,
∴(3a+3b)2-1=80,
∴(3a+3b)2=81,
∴3a+3b=±9,
∴a+b=±3.
故答案为:±3.