For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 6| + |-b| + |b – a| + |ab| = Choose the most appropriate option
A) ab + 2b + 6
B) a-b-6
C) a+b+6
D) 2a+2b-6
E) 2a+b+6
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 = 6 and a=1 and check the value of given functions and options   |a + 6| + |-b| + |b – a| + |ab| = |1 + 6| + |-6| + |6 – 1| + |1*6| = 24   ab + 2b + 6= 1*6+12+6= 
<gadget id="calculator">1*6+12+6</gadget>
<output>24</output>
24   all other options are not equal to 24   ab + 2b + 6nswer : ab + 2b + 6
<result>A</result>
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 6| + |-b| + |b – a| + |ab| =