|The square of ab-2 | + (B-1) = 0, find 1 / AB + 1 / (a + 1) (B + 1) + 1 / (a + 2) (B + 2) +... + 1 / (a + 2010) (B + 2010)

|The square of ab-2 | + (B-1) = 0, find 1 / AB + 1 / (a + 1) (B + 1) + 1 / (a + 2) (B + 2) +... + 1 / (a + 2010) (B + 2010)


If one is greater than 0, then the other is less than 0. So both are equal to 0, so ab-2 = 0, B-1 = 0b = 1A = 2 / b = 2, so the original formula = 1 / 1 * 2 + 1 / 2 * 3 + 1 / 3 * 4 + +1/2011*2012=1-1/2+1/2-1/3+1/3-1/4+…… +1 / 2011-1 / 2012



(a-b) square-2ab (B-A)


=(a-b) square + 2Ab (a-b)
=(a-b)(a-b+2ab)



If the square of a - 2Ab = 5, the square of 2Ab + B = - 8, the square of a + B is equal to?


-3



The square of (a + b) the square of a + 2Ab + B when a = 1, B = 2, what is the square of (a + b) the square of a + 2Ab + B?
When a = 2 and B = 4, how much is the square of (a + b) + 2Ab + B? Use a simple method to calculate the square of (a + b) + 2Ab + B when a = 0.125 and B = 0.875


The analysis is as follows:
∵a=0.125 b=0.875
∴a+b=0.125+0.875=1
∴(a+b)²a²+2ab+b²=1×a²+2ab+b²=a²+2ab+b²=(a+b)²=1²=1