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There are two math problems between junior high school and senior high school. Please explain by the way.
1.A

Answer? +b? -2a-4b+8

=a? -2a+b? -4b+8

=a? -2a+ 1+b? -4b+4+3

=(a- 1)? +(b-2)? +3

Because (a- 1)? ≥0 (b-2)? ≥0

So (a- 1)? +(b-2)? +3≥3

2.

Because x > 5, so x-5 > 0, then | x-5 | = x-5.

① If 5 < x < 6.5, 2x- 13 < 0, then | 2x- 13 | = 13-2x.

|x-5|- |2x- 13|

=x-5- 13+2x

=3x- 18

② If x≥6.5, 2x- 13 ≥ 0, then | 2x- 13 | = 2x- 13.

|x-5|- |2x- 13|

=x-5-2x+ 13

=8-x