For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 5| + |-b| + |b – a| + |ab| =
Choose the correct choice from the following options:
A) a-b  B) 2a-2b  C) 2a-2b-5  D) ab + 2b + 5  E) a-b-5
Observation-1: |a – b| = b – a   which is possible only when signs of a and b are Same   Since Given a &gt; 0   so we figure out that a and b are both positive   Observation-2: |a – b| must be Non-Negative and so should be the value of b-a which is possible only when absolute value of b is greater than or equal to absolute value of a   Now you may choose the values of a and b based on above observations   e.g. b = 5 and a=1 and check the value of given functions and options   |a + 5| + |-b| + |b – a| + |ab| = |1 + 5| + |-5| + |5 – 1| + |1*5| = 20   ab + 2b + 5= 1*5+10+5= 
<gadget id="calculator">1*5+10+5</gadget>
<output>20</output>
20   all other options are not equal to 20   Answer : ab + 2b + 5
<result>D</result>
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 5| + |-b| + |b – a| + |ab| =