It is shown that no matter what rational number a, b is, the value of the second power-2a-4b+6 of algebraic equation a+b must be positive.

It is shown that no matter what rational number a, b is, the value of the second power-2a-4b+6 of algebraic equation a+b must be positive.

2A-4b+6b+6=(a2-2a+1)+(b2-4b+4)+1=(a-1)2+(b-2)2+1;(a-1)2≥0;(b-1)2≥0;(a-1)3+(b-1)2+1≥1>0 is a positive number if (a-1)3+(b-1)2+1≥0 is a positive number.

2A-4b+6=(a2-2a+1)+(b2-4b+4)+1=(a-1)2+(b-2)2+1;(a-1)2≥0;(b-1)2≥0;(a-1)3+(b-1)2+1≥1>0 is a positive number of-2a-4b+6 is a positive number.

2A-4b+6b+6=(a2-2a+1)+(b2-4b+4)+1=(a-1)2+(b-2)2+1;(a-1)2≥0;(b-1)2≥0;(a-1)3+(b-1)2+1≥1>0 is a positive number if (a-1)3+(b-1)2+1≥0.

Given that a and b are rational numbers, let's say that the square of a+b-2a-4b+8 is positive!  

Original formula = a-square-2a+1+b-square-4b+4+3
=(A-1)+(b-2)+3
Any number squared greater than or equal to 0
The formula must be greater than 0