(1) |x-y+1| ≥0, x^2+8x+16=(x+4)^2≥0
两者互为相反数,所以|x-y+1| = x^2+8x+16=0
x-y+1=0, x+4=0, 所以x=-4, y=-3
x2+2xy+y2 = (x+y)^2 = (-7)^2 = 49
(2) 2a-3x+1=0,3b-2x-16=0
所以 x= (2a+1)/3 = (3b-16)/2
a≤4, 所以 x ≤ (2*4+1)/3=3
b>4, 所以 x > (3*4-16)/2 = -2
综合一下得到,-2
(3)将代数式展开得到,
n(n+7)-(n-3)(n-2) = 12n-6 = 6(2n-1)
n为正整数,所以2n-1也为正整数,所以代数式能够被6整除,且所得商数为2n-1.