Question

有几道数学题,1.已知A+B=2,AB=2,求1/2A^3B+1/2AB^3的值.2.求证,4个连续自然数的积再加上1,

Answer 1

1.A+B=2,A=2-B,A(2-A)=2,A2-2A+2=0,无解,此题无解

2.n(n+1)(n+2)(n+3)+1=(n2+3n)(n2+3n+2)+1=(n2+3n+1)2